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Algebraic Topology:     more books (100)

A First Course in Topology: Continuity and Dimension (Student Mathematical Library) by John McCleary, 2006-04-07 Applications of Algebraic Topology: Graphs and Networks, The Picard-Lefschetz Theory and Feynman Integrals (Applied Mathematical Sciences 16) (Volume 0) by S. Lefschetz, 1975-05-13 Fundamental Algebraic Geometry (Mathematical Surveys and Monographs) by Barbara Fantechi, Lothar Gottsche, et all 2006-12-10 Topological Methods in Algebraic Geometry (Classics in Mathematics) by Friedrich Hirzebruch, 1995-02-24 Probabilities on Algebraic Structures (Dover Books on Mathematics) by Ulf Grenander, 2008-02-04 Directed Algebraic Topology: Models of Non-Reversible Worlds (New Mathematical Monographs) by Marco Grandis, 2009-10-30 Algorithmic Topology and Classification of 3-Manifolds (Algorithms and Computation in Mathematics) by Sergei Matveev, 2010-11-02 Algebraic K-Theory II. . "Classical" Algebraic K-Theory, and Connections with Arithmetic.(Lecture Notes in Mathematics 342) (Volume 0) by Hyman Bass, 1973-01-01 Essentials of Topology with Applications (Textbooks in Mathematics) by Steven G. Krantz, 2009-07-28 Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs) by Daniel Huybrechts, 2006-06-29 Intuitive Combinatorial Topology (Universitext) by V.G. Boltyanskii, V.A. Efremovich, 2010-11-02 Topology, Ergodic Theory, Real Algebraic Geometry Geometry and Topology of Configuration Spaces by Edward R. Fadell, Sufian Y. Husseini, 2000-12-28 Algebra, Algebraic Topology and their Interactions: Proceedings of a Conference held in Stockholm, Aug. 3 - 13, 1983, and later developments (Lecture Notes in Mathematics)

lists with details

61. CMS Preprints: Algebraic Topology (55-XX)
    algebraic topology in Malagaalgebraic topology in Málaga. A Conference the 2003 GDRE Meeting 9 to 13 September 2003. Supported by the following organisms  
    http://camel.math.ca/vault/preprints/55/

62. Dr. Bernd Kreußler
    Dr. Bernd Kreußler. algebraic topology (lecture, 4+2). Beginning 29 October 1997 End 21 February 1998 Contents I. CW Complexes  
    http://www.mathematik.uni-kl.de/~kreusler/AlgTopol.html
    
    Extractions: Beginning: 29 October 1997 End: 21 February 1998 Contents: I. CW Complexes Attaching Cells CW Complexes First Properties of CW Complexes Construction of CW Complexes Cellular Approximation II. Singular Homology Free Abelian Groups The Singular Homology Functor First Properties of Homology Homological Algebra (Long Exact Sequences) Exactness Axiom Chain Homotopy Method of Acyclic Models Homotopy Axiom Excision The Mayer-Vietoris Sequence Applications Eilenberg-Steenrod Axioms Cellular Homology Betti Numbers and Euler Characteristic Tensor Product of Groups and Complexes The Eilenberg-Zilber Theorem Exactness of Tensor Products III. Cohomology, Products and Duality The Fuctor Hom Singular Cohomology The Functor Ext The Universal Coefficient Theorem for Cohomology Products (cross, cup, slant, cap) Relative Versions of the Products Direct Limits Orientation Applications Alexander Duality The Lefschetz Fixed Point Theorem De Rham Cohomology Prerequisites: Basic notions from general topology; notions from algebra like group, ring and module; The knowledge of

63. Algebraic Topology
    algebraic topology. Benjamin (1967); Rotman, JJ An introduction to algebraic topology.  
    http://www.mathematik.uni-kl.de/~lossen/LECTURES/Alg_Topologie_03.html

64. SC_39 Algebraic Topology
    algebraic topology. Suzhou University, Suzhou, Aug. 30 Sep. 3, 2002. Topics This conference will focus on the main problem and  
    http://www.icm2002.org.cn/satellite/satel_39.htm
    
    Extractions: Welcome What's New General Information Organization ... FAQ Algebraic Topology Suzhou University, Suzhou, Aug. 30 - Sep. 3, 2002 Topics: This conference will focus on the main problem and the important progress of algebraic topology and differential topology, e.g., spectral sequence, cobordism, localization, embedding,immersion, etc.

65. Algebra And Algebraic Topology
    Algebra algebraic topology. The research in algebra at Bangor has to a large extent been motivated by problems in algebraic topology and homological algebra.  
    http://www.informatics.bangor.ac.uk/public/mathematics/research/algtop/algtop1.h
    
    Extractions: Page under construction The research in algebra at Bangor has to a large extent been motivated by problems in algebraic topology and homological algebra. The recent spate of new and exciting concepts (crossed modules, crossed n-cubes, nonabelian tensor products, etc.) originating in those two areas has opened out many algebraic aspects of the theory and applications which are waiting to be investigated. HOME PAGE of the research group. School of Informatics: home page Mathematics home page. U.W.Bangor Home Page Latest modification to this page: 10/ 5/00

66. Algebraic Topology Resources
    algebraic topology resources. Recommended References. see index for total category for your convenience Best Retirement Spots  
    http://futuresedge.org/mathematics/Algebraic_Topology_.html

67. Research In Geometry & Algebraic Topology
    Research in Geometry algebraic topology. Geometry and algebraic topology the generalised Mckay correspondence. algebraic topology.  
    http://www.maths.gla.ac.uk/research/groups/geoalgtop/
    
    Extractions: Mathematics Home Research Undergrad Postgrad ... Mathematical Education In many respects, the latter half of the 20th Century has been a golden age of Geometry and Topology, with spectacular advances in the study of manifolds (particularly in dimension 4), Global Analysis including Index Theory, complex manifolds and Algebraic Geometry, including its applications in Number Theory. Increasingly, strong connections with integrable system theory and global aspects of differential equations as well as the remarkable two-way flow of ideas between Geometry and Theoretical Physics are dominating developments. Algebraic Topology has developed important machinery such as cohomology theories including ordinary cohomology, K -theory, cobordism and elliptic cohomology. These are often of use in geometric situations, as well as within Algebraic Topology itself which tends to study much less `rigid' geometric situations than Geometers do. There have also been significant interactions with many areas of Algebra, and indeed much of Algebraic Topology can be viewed as `applied algebra' as well as being a major source of innovative algebraic ideas. Departmental research activity in Geometry and Topology occurs in the following areas.

68. Algebraic Topology
    algebraic topology. Written I am not sure if this is the textbook on algebraic topology, but I bet this is among the best ones. You  
    http://mathematicsbooks.org/0521795400.html
    
    Extractions: Customer Reviews This book is not just for topologists! If you're like me, then you've spent countless nights sans Hatcher's book trying to figure out the fundamental group of a beer can. Look no further, the answers are here!Be sure to check out the vivid detail Hatcher brings to the Van Kampen theorem. I've not actually read that part myself, as I do not trust german mathematics. Look for related books on other categories Geometry - General Topology - General Algebraic topology Mathematics ... Geometry - Algebraic Other related products Still didn't find what you want? Try Amazon search Search: All Products Books Magazines Popular Music Classical Music Video DVD Baby Electronics Software Outdoor Living Wireless Phones Keywords: Or try to look for Algebraic Topology at Fetch Used Books, at

69. Differential Forms In Algebraic Topology
    Differential Forms in algebraic topology Search for books at mathematicsbooks.org. mathematicsbooks.org. Differential Forms in algebraic topology.  
    http://mathematicsbooks.org/0387906134.html
    
    Extractions: Customer Reviews This book is almost unique among mathematics books in that it strives to ensure that you have the clearest picture possible of the topics under discussion. For example almost every text that discusses spectral sequences introduces them as a completely abstract machine that pumps out theorems in a mysterious way. But it turns out that all those maps actually have a clear meaning and Bott and Tu get right in there with clear diagrams showing exactly what those maps mean and where the generators of the various groups get mapped. It's clear enough that you can almost reach out and touch the things :-) And the same is true of all of the other constructions in the book - you always have a concrete example in mind with which to test out your understanding.That makes this one of my all time favourite mathematics texts. Look for related books on other categories Differential topology Geometry - General Differential forms Algebraic topology ... Mathematics Other related products Still didn't find what you want?

70. LLN June 2004: Home
    algebraic topology Meeting. LouvainLa-Neuve, 14-19 June 2004. 14-16 June A Course on Configuration Spaces. 17-19 June A conference in algebraic topology.  
    http://gauss.math.ucl.ac.be/~topalg/conf04/
    
    Extractions: The first three days of the week (monday to wednesday) will be devoted to a course on "Configuration spaces" given by Fred Cohen (University of Rochester). This lectures series will be completed by exercise sessions given by Paolo Salvatore (Univisità di Roma "Tor Vergata"). The last three days of the week (thursday to saturday morning) there will be a conference in algebraic topology in the framework of a GDRE meeting. The following speakers have agreed to give a talk: Scientific comitee: Organizing comitee: With the support of: CNRS, FNRS, UCL Home Register How to go there Hotel ... Abstracts

71. Algebraic Topology Of String Theory And Moduli Space Of Riemann Surfaces
    algebraic topology of String Theory. and Moduli Space of Riemann Surfaces. SUNY Stony Brook August 1115, 2003. Sponsored and funded  
    http://math.stanford.edu/stringworkshop/
    
    Extractions: Overview ... Workshop page at Stony Brook This workshop will cover questions and constructions in topology and geometry related to or motivated by string theory. These include: the topology of spaces of paths and loops in manifolds, the topology and geometry of moduli spaces, and Gromov-Witten theory. This will be a small workshop, with many of the participants being graduate students and postdocs in various areas of topology and algebraic geometry. There will be several general, survey lectures given by senior mathematicians, and a program of more focused lectures given by younger mathematicians and students. If you are interested in giving a lecture at the workshop, please contact one of the organizers. Ralph Cohen, Stanford University

72. Order Vs. Algebraic Topology
    algebraic topology. In this section we present the basics of algebraic topology and how they can be used to derive fixed point results for ordered sets.  
    http://www.csi.uottawa.ca/ordal/papers/schroder/node15.html
    
    Extractions: Next: Simplicial Complexes Up: Algorithms for the Previous: Isotone Relations In this section we present the basics of algebraic topology and how they can be used to derive fixed point results for ordered sets. In particular Theorem is a homological analogue of Theorem , leading to a possible similar reduction algorithm as discussed in section in order to compute the homology for some ordered sets. This is inspired by the work of Constantin and Fournier (cf. [ ]) discussed in sections . We start this section with a review of the basic notions of algebraic topology that are needed here. To keep the necessary new vocabulary limited we will not use the language of category theory here, though those versed in it will easily be able to identify the functors etc. behind the results. Most of the (standard) concepts from algebraic topology have been taken from [ ], chapter 4, sections 1-4. Proofs that were omitted are either short, or a reference to the proof in the literature is given.

73. MH RTN
    (Malaga Aniceto Murillo, Antonio Viruel). For further details, see Barcelona algebraic topology Group or; contact Jaume Aguadé aguade@manwe.mat.uab.es.  
    http://www.shef.ac.uk/~pm1jg/mhrtn/rtn.html
    
    Extractions: Modern Homotopy Theory A Research Training Network supported by the European Commission (EEC HPRN-CT-1999-00119) with Participating Institutions at This page advertises available positions. Other information and links are given on the Modern Homotopy Theory RTN Homepage The project The Steenrod algebra, classifying spaces and related topics and Rational homotopy theory and related topics. Positions available The Network has Postdoctoral positions available at several of the Participating Institutions and Associated Institutions. The posts are usually tenable for a maximum of one year. Enquiries and details (including posts, closing dates and conditions) should be directed to one of the Participating Institutions below. To be eligible applicants must be citizens of an EU country or an Associated State (the Associated States are Bulgaria, Czech Republic, Republic of Cyprus, Estonia, Hungary, Iceland, Israel, Latvia, Lichtenstein, Lithuania, Norway, Poland, Romania, Slovakia and Slovenia. From 1/1/01 Switzerland will probably be added.) be 35 years old or younger at the time of appointment and have (or be close to finishing) a PhD degree in mathematics.

74. PMA 333 Algebraic Topology
    algebraic topology PMA 333. This course is taught by Neil Strickland. My office is J10 in the Hicks Building, and my internal phone number is 23852.  
    http://www.shef.ac.uk/nps/courses/algtop/
    
    Extractions: PMA 333 This course is taught by Neil Strickland. My office is J10 in the Hicks Building, and my internal phone number is 23852. The best way to reach me outside of lectures is by email: N.P.Strickland@sheffield.ac.uk. Lectures are at 11:10 on Tuesdays in Hicks lecture room 6, and at 11:10 on Fridays in Hicks lecture room 9. Problem sheets and solutions will appear on this web page in due course.

75. Institut Mittag-Leffler: Program 2005/06 Spring
    Future programs. 2006 Spring algebraic topology. Scientific steering committee Bjørn Jahren, Oslo (Chairman) Kathryn Hess, Lausanne Bob Oliver, Paris.  
    http://www.ml.kva.se/program0506s.html

76. Science Search > Algebraic Topology
    algebraic topology, 1. algebraic topology by Solomon Lefschetz Published by the AMS, available for free download as PDF files. http  
    http://www.science-search.org/index/Math/Topology/Algebraic_Topology/

77. Algebraic Topology :: Online Encyclopedia :: Information Genius
    algebraic topology. The problems of algebraic topology. The most celebrated geometric open problem in algebraic topology is the Poincaré conjecture.  
    http://www.informationgenius.com/encyclopedia/a/al/algebraic_topology.html
    
    Extractions: Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces. The goal is to take topological spaces, and further categorize or classify them. An older name for the subject was combinatorial topology , implying an emphasis on how a space X was contructed from simpler ones. The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants: for example by mapping them to groups , which have a great deal of manageable structure, in a way that respects the relation of homeomorphism of spaces. Two major ways in which this can be done are through fundamental groups, or more general homotopy theory , and through homology and cohomology groups. The fundamental groups give us basic information about the structure of a topological space; but they are often nonabelian and can be difficult to work with. The fundamental group of a (finite) simplicial complex does have a finite presentation Homology and cohomology groups, on the other hand, are abelian, and in many important cases finitely generated. Finitely generated abelian groups can be completely classified and are particularly easy to work with.

78. Algebraic Topology Definition Meaning Information Explanation
    algebraic topology definition, meaning and explanation and more about algebraic topology. FreeDefinition - Online Glossary and Encyclopedia, algebraic topology.  
    http://www.free-definition.com/Algebraic-topology.html
    
    Extractions: 5 External links The goal is to take topological spaces, and further categorize or classify them. An older name for the subject was combinatorial topology , implying an emphasis on how a space X was contructed from simpler ones. The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants: for example by mapping them to groups , which have a great deal of manageable structure, in a way that respects the relation of homeomorphism of spaces. Two major ways in which this can be done are through fundamental group s, or more general homotopy theory, and through homology and cohomology groups. The fundamental groups give us basic information about the structure of a topological space; but they are often nonabelian and can be difficult to work with. The fundamental group of a (finite)

79. Algebraic Topology At Fukuoka
    algebraic topology at Fukuoka. Click here for Japanese version.  
    http://www.sm.fukuoka-u.ac.jp/~topology/index-e.html

80. Mathematics 261: Algebraic Topology I
    . This course is an introduction to algebraic topology.Mathematics 261 algebraic topology I (Spring 2002). Instructor. Paul Aspinwall.  
    http://www.math.duke.edu/graduate/courses/spring02/math261.html
    
    Extractions: Paul Aspinwall This course is an introduction to algebraic topology. A rough outline is as follows: Homotopy Homology Algebraic topology studies topological spaces by associating to them algebraic invariants. The principal algebraic invariants considered in this course are the fundamental group (also known as the first homotopy group) and the homology groups. This course is a prerequisite for Math 262 (Algebraic Topology II). It is fundamental for students interested in research in Algebraic Geometry, Differential Geometry, Mathematical Physics, and Topology; it is also important for students in Algebra and in Number Theory. Basic algebra (Math 200 or 251) and Topology (Math 205), or consent from me.

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