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         Topology Geometry:     more books (100)
  1. A History of Algebraic and Differential Topology, 1900-1960 by Jean Dieudonne, 1989-04-01
  2. Topology from the Differentiable Viewpoint by John Willard Milnor, 1997-11-24
  3. A Basic Course in Algebraic Topology (Graduate Texts in Mathematics) by William S. Massey, 1997-05-29
  4. Algebraic Topology by Edwin H. Spanier, 1994-12-06
  5. Algebraic Topology via Differential Geometry (London Mathematical Society Lecture Note Series) by M. Karoubi, C. Leruste, 1988-01-29
  6. An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by Joseph J. Rotman, 1998-07-22
  7. Algebraic Topology by Allen Hatcher, 2001-11-15
  8. Discrete Surfaces and Manifolds: A Theory of Digital-Discrete Geometry and Topology by Li Chen, 2004-06-15
  9. Topology,: The rubber-sheet geometry (Exploring mathematics on your own) by Donovan A Johnson, 1965
  10. Geometry and Topology of Submanifolds IX
  11. Algebraic Topology by William Fulton, 1997-09-05
  12. Differential Geometry and Topology of Curves by Yu Animov, 2001-01-11
  13. Modern Geometry - Methods and Applications Part II The Geometry and Topology Manifolds (Graduate Texts in Mathematics) by et. al B.A Dubrovin, 1985
  14. Virtual Topology and Functor Geometry (Lecture Notes in Pure and Applied Mathematics) by Fred Van Oystaeyen, 2007-11-15

41. Topology/Geometry I (MAT 530)
Subsections Typical references. topology/geometry I (MAT 530). Basic point set topology Metric Spaces. Topological spaces and continuous maps.
http://www.math.sunysb.edu/docs/grad-handbook/main/Topology_Geometry_I_MAT.html
Topology/Geometry II (MAT 531)
CORE COURSE CURRICULA
CORE COURSE CURRICULA
Subsections
Topology/Geometry I (MAT 530)
  • Basic point set topology
    • Metric Spaces Topological spaces and continuous maps Comparison of topologies Separation axioms and limits Countability axioms, the Urysohn metrization theorem Compactness and paracompactness, the Tychonoff theorem Connectedness Product spaces Function spaces and their topologies, Ascoli's theorem
    Introduction to algebraic topology
    • Fundamental group Fundamental group of S n ; examples of fundamental groups of surfaces Seifert-van Kampen theorem Classification of covering spaces, universal covering spaces; examples Homotopy; essential and inessential maps
    Typical references
    • James R. Munkres, Topology: a first course
      Prentice Hall, Englewood Cliffs NJ, 1975; William S. Massey, Algebraic topology: an introduction
      th corrected printing, Springer-Verlag, 1977.
    Topology/Geometry II (MAT 531)
    CORE COURSE CURRICULA
    CORE COURSE CURRICULA
    Download Graduate Handbook: PDF version or compressed PostScript version
    Updated Graduate Committee
    Please email errata, comments, and suggestions to

    • 42. Www.geom.uiuc.edu/docs/doyle/mpls/handouts/node13.html
    UCSD topology/geometry Seminars, Spring 2004UCSD topology/geometry Seminars, Spring 2004. Fridays 415530 in room 7218. Organisers Justin Roberts, Peter Teichner The following
    http://www.geom.uiuc.edu/docs/doyle/mpls/handouts/node13.html
    Next: Surfaces Up: Geometry and the Imagination Previous: Gaswater, electricity
    Topology
    Topology is the theory of shapes which are allowed to stretch, compress, flex and bend, but without tearing or gluing. For example, a square is topologically equivalent to a circle, since a square can be continously deformed into a circle. As another example, a doughnut and a coffee cup with a handle for are topologically equivalent, since a doughnut can be reshaped into a coffee cup without tearing or gluing.
    Letters
    As a starting exercise in topology, let's look at the letters of the alphabet. We think of the letters as figures made from lines and curves, without fancy doodads such as serifs. Question. Which of the capital letters are topologically the same, and which are topologically different? How many topologically different capital letters are there?
    Next: Surfaces Up: Geometry and the Imagination Previous: Gaswater, electricity
    Peter Doyle

    43. Geometry And The Imagination
    Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.
    http://math.dartmouth.edu/~doyle/docs/gi/gi/gi.html
    Bicycle tracks
    C. Dennis Thron has called attention to the following passage from The Adventure of the Priory School , by Sir Arthur Conan Doyle: `This track, as you perceive, was made by a rider who was going from the direction of the school.' `Or towards it?' `No, no, my dear Watson. The more deeply sunk impression is, of course, the hind wheel, upon which the weight rests. You perceive several places where it has passed across and obliterated the more shallow mark of the front one. It was undoubtedly heading away from the school.'
    Problems
    Discuss this passage. Does Holmes know what he's talking about?
    Try to come up with a method for telling which way a bike has gone by looking at the track it has left. There are all kinds of possibilities here. Which methods do you honestly think will work, and under what conditions? For example, does your method only work if the bike has passed through a patch of wet cement? Would it work for tracks on the beach? Tracks on a patch of dry sidewalk between puddles? Tracks through short, dewy grass? Tracks along a thirty-foot length of brown package-wrapping paper, made by a bike whose tires have been carefully coated with mud, and which has been just ridden long enough before reaching the paper so that the tracks are not appreciably darker at one end of the paper than the other?
    Try to determine the direction of travel for the idealized bike tracks in Figure Figure 1: Which way did the bicycle go?

    44. Topology/Geometry
    topology/geometry. 6145 Topological Analysis. An introductory course in point set topology, with applications to functions spaces and analysis.
    http://www.math.uga.edu/~grad/html-gradcore/node46.html
    Next: Number Theory Up: Graduate Courses Previous: Combinatorics/Algorithms
    Topology/Geometry
    Topological Analysis. An introductory course in point set topology, with applications to functions spaces and analysis. Elementary Differential Topology. Differential calculus in , manifolds in Euclidean space. Fundamental ideas of transversality, homotopy, and intersection theory. Differential forms, integration in manifolds. Stokes' theorem, deRham cohomology. Topics from differential geometry. Elementary Differential Geometry. An introduction to the geometry of curves and surfaces in Euclidean space. Frenet formulas for curves and Gaussian curvature of surfaces. Physical applications. Non-Euclidean geometries. Topology. Differential Geometry. Basic theory of differentiable manifolds and vector bundles; tensors; flows and Frobenius theorem; Stokes' theorem. Riemannian geometry: connections, curvature, first and second variation; geometry of submanifolds. Gauss-Bonnet theorem and characteristic classes. Additional topics.

    45. Free Software: Jun For Smalltalk
    3D Graphics Library with topology and geometry, OpenGL graphics layer for Smalltalk, coded in VisualWorks. Open Source, GPL
    http://www.sra.co.jp/people/aoki/Jun/Main_e.htm

    46. Topology, Geometry
    topology, geometry. Subject topology, geometry; From baez@galaxy.ucr.edu (John Baez); Date Sun, 2 Dec 2001 233553 +0000 (UTC);
    http://www.lns.cornell.edu/spr/2001-12/msg0037324.html
    Date Prev Date Next Thread Prev Thread Next ... Thread Index
    Topology, geometry

    47. The Math Reference Project
    An electronic archive of articles by Karl Dahlke on topics ranging from high school geometry up to graduate level topology.
    http://www.mathreference.com/
    Math Reference Project
    Main Page
    Welcome to the Math Reference project, an electronic archive of mathematical information. Topics range from high school geometry up to graduate level topology, and (almost) everything in between. You can either search by topic , scan through the site map , or search by keywords. Click here for our Email: (optional)
    Search: This website is free to everyone. It contains no banner ads, no text ads, and no popups. It's a clean site, and we'd like to keep it that way. You can support this effort by purchasing your Amazon.com products through our gateway. Just buy the items you would normally buy: books, disks, videos, software, toys, etc. We receive a small commission, at no cost to you. (Any math books purchased through this site automatically go through our gateway.) The button below will add a new bookmark to your favorites. Go to this bookmark (in your favorites) every time you want to buy something from Amazon.com or ToysRus.com . Thank you, and enjoy the commercial free site. All material in these pages is protected, © Karl Dahlke, 2002-2004, and may not be copied or redistributed without written consent. You may

    48. Re: Topology, Geometry
    Re topology, geometry. Sender mmcirvin@world.std.com (Matt McIrvin). Zachary Uram asked What is difference between topology and geometry?
    http://www.lns.cornell.edu/spr/2001-12/msg0037432.html
    Date Prev Date Next Thread Prev Thread Next ... Thread Index
    Re: Topology, geometry

    49. The Arithmetic, Geometry And Topology Of Algebraic Cycles
    Morelia, Mexico; 15 June 7 July 2003.
    http://www.matem.unam.mx/cycles/

    50. Topology And Geometry
    Jeff Weeks . topology and geometry Software. Fun and Games for ages 10 and up. Torus and Klein Bottle games (online), Kali (Windows, Macintosh
    http://geometrygames.org/
    Jeff Weeks' Topology and Geometry Software Fun and Games
    for ages 10 and up
    Torus and Klein Bottle games
    (online)
    Kali
    (Windows, Macintosh)
    KaleidoTile
    (Windows, Macintosh) Classroom Materials
    for teachers grades 6-10
    Exploring the Shape of Space
    Curved Spaces for software developers Computer Graphics in Curved Spaces (OpenGL, Direct3D) Research Software for mathematicians SnapPea (Linux, Macintosh, Windows) Comments? Problems? Suggestions? Contact Jeff Weeks awards and links

    51. Novikov Conjecture Home Page
    The latest developments concerning the Novikov Conjecture and related problems in topology, geometry, algebra, and analysis. Maintained by Jonathan Rosenberg.
    http://www.math.umd.edu/users/jmr/NC.html
    Novikov Conjecture Home Page
    The intended function of this home page is to keep you up-to-date on the latest developments concerning the Novikov Conjecture and related problems in topology, geometry, algebra, and analysis. Further contributions of all sorts are welcome. Please send them to Jonathan Rosenberg at jmr@math.umd.edu
    Bibliography on the Novikov Conjecture and related topics:
    This bibliography is based on the one in "A history and survey of the Novikov Conjecture" by Steve Ferry, Andrew Ranicki, and Jonathan Rosenberg. The original version appeared in volume 1 of "Novikov Conjectures, Index Theorems and Rigidity" (listed below under books) but we will try to update it regularly. To view the dvi file (approx. 80kb), click here . For a tar'ed dvi file (better suited for downloading), click here
    Some recent books:

    52. Topology-Geometry Seminar-E
    Hiroshima University topologygeometry Seminar Information. topology-geometry Seminar is held on every Tuesday. The talks are given mainly in Japanese.
    http://www.math.sci.hiroshima-u.ac.jp/top/seminar/index-e.html
    Hiroshima University Topology-Geometry Seminar Information
    Topology-Geometry Seminar is held on every Tuesday.
    The talks are given mainly in Japanese.
    Topology-Geometry Seminar 2004 started on April 13, 2004.
    Japanese version is here.
    Speakers and Title of Talks
    • 7/ 6 : Fumikazu Nagasato (Faculty of Mathematics, Kyushu University)
      TBA 6/29 : Kentaro Saji (Graduate School of Science, Hiroshima University)
      On circular surfaces 6/22 F Reiko Miyaoka (Faculty of Mathematics, Kyushu University)
      G_2 geometry from the view point of hypersurface theory 6/15 F Tatsuyoshi Hamada (Faculty of Science, Fukuoka University)
      On *-Einstein real hypersurfaces in complex space forms 6/ 8 : SILVER, Daniel (University of South Alabama)
      Alexander Groups of Virtual Knots 6/ 1 F Satoshi Kawakubo (Faculty of Science, Fukuoka University)
      Kirchhoff elastic rods in the three-dimensional space form 5/18 F Masakazu Teragaito (Graduate School of Education, Hiroshima University)
      Distance between toroidal surgeries on hyperbolic knots in the 3-sphere 5/11 F Hiromichi Nakayama (Faculty of Integrated Arts and Sciences, Hiroshima University)

    53. Department Of Geometry And Topology
    Department of geometry and topology.
    http://topologia.geomet.uv.es/index-engl.html
    Versió en valencià Versión en castellano
    Welcome to our WWW (World-Wide-Web) server
    The Department of Geometry and Topology is one of the departments which compose the Faculty of Mathematics of the University of Valencia. In this server we provide information about the following topics: From this WWW page you can also access our anonymous FTP file server. For any information or suggestion, please contact juan.l.monterde@uv.es Our address is: Departament of Geometry and Topology
    Faculty of Mathematics
    University of Valencia
    E-46100-Burjasot (Valencia)
    Spain
    Phone: +34-96-3864571 Fax: +34-96-3864735
    This page is under construction.

    54. Topology-Geometry Seminar-E
    Hiroshima University topologygeometry Seminar Information. topology-geometry Seminar is held on every Friday. The talks are given mainly in Japanese.
    http://www.math.sci.hiroshima-u.ac.jp/top/seminar/topsemi03-e.html
    Hiroshima University Topology-Geometry Seminar Information
    Topology-Geometry Seminar is held on every Friday.
    The talks are given mainly in Japanese.
    Topology-Geometry Seminar 2003 started on April 18, 2003.
    Japanese version is here.
    Speakers and Titles of Talks
    • 2^24FWhensheng Cao (Hunan University of Science and Technology)
      On the classification of 4-dimensional Moebius transformations 2^10FKatsumi Konishi (Information Media Center, Hiroshima University)
      Relaxation for nonconvex quadratic matrix inequalities and its application 2^3F
      • Haruko Ishigami
        The simplest hyperbolic knots with non-integral toroidal surgery
      • Hiroki Okano
        The 1st coefficient of the characteristic polynomial of the Alexander matrix
      • Ken Kobashi
        Embeddings of graphs on closed surfaces
      • Katsuhiro Mitani Coustructing spectra related to Ravenel's T(m) and its applications
      • Hitoshi Miyamoto Classification of finite biquandles and construction of knot biquandles
      • Masayasu Moriwaki The character of A2 - type
      • Hironori Yamasaki Study on stable extendibility of real vector bundles over real projective spaces
    • 1^20FTetsu Nishimoto(Kinki Welfare University) Lusternik-Schnirelmann categories of non-simply connected compact simple Lie groups of low rank 1^13FHiroshi Matsuda(Graduate School of Science, Hiroshima University)

    55. Petersburg Department Of Steklov Institute Of Mathematics
    The mathematics institute of Russian Academy of Sciences, consisting of 11 laboratories mathematical physics, geometry and topology, number theory, algebra, mathematical analysis, mathematical physics, mathematical problems of physics, mathematical problems of statistical physics, statistical methods, representation theory and computing mathematics, mathematical problems of geophysics.
    http://www.pdmi.ras.ru/
    contact information about the name of the institute HISTORY ACTIVITIES ... Tete-a-Tete in Russia program Petersburg Department of Steklov Institute of Mathematics belongs to Department of Mathematics of Russian Academy of Sciences This server is maintained by the webmasters of PDMI. Send comments to webmaster@pdmi.ras.ru From 9 Nov 2001 you are

    56. Yi-Jen Lee
    Assistant Professor, Department of Mathematics, University of Princeton. topology geometry.
    http://www.math.princeton.edu/~ylee/

    57. DEPARTAMENTO DE XEOMETRIA E TOPOLOXIA
    Department of geometry and topology.
    http://xtsunxet.usc.es/
    Novidades     Profesorado Docencia en licenciaturas Doutoramento
    Novidades     Profesorado Docencia en licenciaturas Doutoramento ...
    MATEMÁTICAS

    58. Pushpa Publishing House, Allahabad, Uttar Pradesh India
    (Pushpa) Table of contents and abstracts from vol.1 (2001).
    http://www.pphmj.com/jpgtjournals.htm
    Vijaya Niwas, 198 Mumfordganj Allahabad - 211002, India
    arun@pphmj.com The Pushpa Publishing House announces (i) Volume 14(2004) and Volume 17(2004) of the Far East Journal of Applied Mathematics as the Special Volumes devoted largely to the articles concerned with the Applications of Numerical Methods in the Partial Differential Equations, Fluid Mechanics, Magnetohydrodynamics, and other related topics. (ii) Volume 13(2004) of the Far East Journal of Theoretical Statistics as the Special Volume devoted largely to the articles concerned with the Biostatistics and other related topics. The JP Journal of Geometry and Topology is published in three issues per volume annually appearing in March, July and November. Original research papers and critical survey articles in areas of current interest in Geometry, Topology and their Applications are considered for publication. Reviewed: Mathematical Reviews and Zentralblatt fur Mathematik.

    59. Department Of Mathematics, IIT Bombay
    Department of Mathematics. Courses at B.Tech, M.Tech, M.Sc and Ph.D level. Research areas Algebra and Combinatorics; Theoretical Computer Science; Analysis Functional and Numerical Analysis; topology and geometry; Numerical Analysis; Mechanics of Fluids; Mechanics of Solids; Statistics.
    http://www.math.iitb.ac.in/
    Indian Institute of Technology Bombay
    About the Department Academic Programs Admissions People News Research and Development Resources and Services
    Mathematics Association Seminars and Colloquia Conferences and Workshops XML based data collection system MathSciNet IIT Homepage Central Library ... Ftp Search
    Department of Mathematics Indian Institute of Tech., Bombay

    60. Topology/Geometry Post Doc. In Oslo
    topology/geometry Post Doc. in Oslo. A position for a Post Doctoral researcher in pure mathematics is available at the Department
    http://www.math.uio.no/~rognes/postdoc.html
    Topology/Geometry Post Doc. in Oslo
    A position for a Post Doctoral researcher in pure mathematics is available at the Department of Mathematics of the University of Oslo in Norway. Here is a link to the official announcement , which is in Norwegian. The information on the present web page is wholly unofficial, and is only provided for the benefit of those not yet so proficient in that language. See also the department web page The applicant must have completed a doctoral degree in Mathematics, and must have documented academic qualifications within one or more of the fields of research of the pure mathematics section of the Department of Mathematics of the University of Oslo, i.e., mathematical analysis, algebra/algebraic geometry, topology/geometry and mathematical logic. The position runs for 4 years, and involves 25% teaching (on average 3 hours of classes per week, each semester). Most of the teaching should be in a Scandinavian language understood by Norwegian students. In the course of these years, the Post Doctoral researcher must either document formal pedagogical education, or follow such a course organized by the University of Oslo. The primary aim of the position is research training. The applicant must present a plan for the proposed postdoctoral research work.

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