81. Ohm.calvin.edu Used for network topology research at Calvin College. Cluster description. http://ohm.calvin.edu/

Resources External Links ohm.calvin.edu Ohm , Calvin College's Beowulf cluster supercomputer, is a three-year project sponsored by the National Science Foundation's Major Research Instrumentation program (grant #0079739). The purpose of Ohm is twofold: to measure the effect of different network topologies on the efficiency of various supercomputer applications, and to provide Calvin's scientific faculty with an advanced computing platform upon which to execute discipline-specific intensive computational jobs. Eliot Eshelman Administrator Joel Adams Faculty Researcher

82. 54: General Topology Introduction. topology is the study of sets on which one has a notion of closeness enough to decide which functions defined on it are continuous. http://www.math.niu.edu/~rusin/known-math/index/54-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 54: General topology Introduction More formally, a topological space is a set X on which we have a topology a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. This definition is arranged to meet the intent of the opening paragraph. However, stated in this generality, topological spaces can be quite bizarre; for example, in most other disciplines of mathematics, the only topologies on finite sets are the discrete topologies (all subsets are open), but the definition permits many others. Thus a general theme in topology is to test the extent to which the axioms force the kind of structure one expects to use and then, as appropriate, introduce other axioms so as to better match the intended application. For example, a single point need not be a closed set in a topology. Does this seem "inappropriate"? Then perhaps you are envisioning a special kind of topological space, say a a metric space. This alone still need not imply the space looks enough like the shapes you may have seen in a textbook; if you really prefer to understand those shapes, you need to add the axioms of a manifold, perhaps. Many such levels of generality are possible.

83. Electronic Geometry Models This archive is open for any geometer to publish new geometric models, or to browse this site for material to be used in education and research. These geometry models cover a broad range of mathematical topics from geometry, topology, and to some extent from numerics. http://www.eg-models.de/

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84. Geometry And Topology Translate this page http://www.emis.de/journals/GT/

85. Mathematics (Maths) Research, Institute Of Fundamental Sciences, Massey Universi Covers a variety of topics from math in industry to topology. Located at the Massey University in Palmerston North, New Zealand. http://ifs.massey.ac.nz/mathres.shtml

SEARCH MASSEY LIBRARY NEWS ... Coming Events Study with IFS Chemistry Mathematics Physics Electronics ... Prizes Research at IFS News Chemistry Mathematics Physics ... IFS Employment Opportunities newsletter Chemistry alumni NZMS newsletter Resources Chemistry Mathematics Physics College of Sciences ... Compliance Check Sheets (staff only) Mathematics Research Postgraduate Study in Mathematics Research Centres Centre for Mathematical Modelling Allan Wilson Centre for Molecular Biology and Evolution Centre for Mathematics in Industry Mathematics Research at Albany Campus Research Areas Chromatic Polynomials 1-Factor Graphs Non-Linear PDE's and Symmetries Mathematics Education ... Topology Facilities All Mathematics researchers have access to a range of computers and software packages. Personal computers in offices offer Matlab, Maple, , various compilers (Fortran, Pascal, etc), a Computational Fluid Dynamics programme (PHOENICS) and geothermal reservoir simulation programmes as well as standard word processing, spreadsheet and graphing software. Researchers have access to the HELIX supercomputer in the Allan Wilson Centre.

86. Geometry And Topology Translate this page http://www.emis.de/journals/UW/gt/

87. Zeeman, E. Christopher A major contributor to topology and dynamical systesm. Includes notes, lectures and bibliography of a variety of topics, such as chaos theory, topology, abstract algebra and math history. http://www.math.utsa.edu/ecz/

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88. GT Geometric Topology Preprints in geometric topology in the Arxiv. http://front.math.ucdavis.edu/math.GT

Thu 27 May 2004 Search Submit Retrieve Subscribe ... iFAQ GT Geometric Topology Calendar Search Authors: All AB CDE FGH ... U-Z New articles (last 12) 27 May math.GT/0405504 Knot theory and B-type Hecke algebras. Sofia Lambropoulou . 35 pages. J. Knot Theory and its Ramifications , Vol. 8, No. 5, pp. 621658 (1999). GT QA 27 May math.GT/0405502 Knot theory in handlebodies. Reinhard Haering-Oldenburg , Sofia Lambropoulou . 23 pages. J. Knot Theory and Ramifications , Vol. 11, No. 6, pp. 921943 (2002). GT AT 27 May math.GT/0405498 Markov's theorem in 3manifolds. Sofia Lambropoulou , Colin P. Rourke . 29 pages. Topology and its Applications , Vol. 78, pp. 95122 (1997). GT 27 May math.GT/0405493 Algebraic Markov equivalence for links in 3-manifolds. Sofia Lambropoulou , Colin P. Rourke . 33 pages. GT AT 26 May math.GT/0405481 A factorization of the Conway polynomial and covering linkage invariants. Tatsuya Tsukamoto , Akira Yasuhara . 9 pages. GT 26 May math.GT/0405474 Torsion of the Khovanov homology. Alexander Shumakovitch . 18 pages. GT 25 May math.GT/0405465 3-Manifolds, tangles and persistent invariants. Jozef H.

89. Abramovich, Dan Boston University. Algebraic number theory group and topology. Pictures, research papers, notes, transparencies. http://math.bu.edu/INDIVIDUAL/abrmovic/index.html

90. AT Algebraic Topology Preprints in algebraic topology. http://front.math.ucdavis.edu/math.AT

Thu 27 May 2004 Search Submit Retrieve Subscribe ... iFAQ AT Algebraic Topology Calendar Search Authors: All AB CDE FGH ... U-Z Cross-listings (last 12) 27 May math.GT/0405502 Knot theory in handlebodies. Reinhard Haering-Oldenburg , Sofia Lambropoulou . 23 pages. J. Knot Theory and Ramifications , Vol. 11, No. 6, pp. 921943 (2002). GT AT 27 May math.GT/0405493 Algebraic Markov equivalence for links in 3-manifolds. Sofia Lambropoulou , Colin P. Rourke . 33 pages. GT AT 25 May math.GT/0405428 Virtual Knot Theory Unsolved Problems. Roger Fenn , Louis H. Kauffman , Vassily O. Manturov . 29 pages. GT AT 25 May math.QA/0405424 The Exponential Map on the Cayley-Dickson algebras. Guillermo Moreno . 17 pages. QA AT 24 May math.CO/0405419 WI-posets, graph complexes and Z_2-equivalences. Rade T. Zivaljevic CO AT 21 May math.GT/0405395 Detecting torsion in skein modules using Hochschild homology. Michael McLendon . 20 pages. GT AT 21 May math.CO/0405393 On the Topological Tverberg Theorem. Torsten . 45 pages. CO AT 18 May math.QA/0405330 On the structure of cofree Hopf algebras. Jean-Louis Loday , Maria Ronco . 30 pages. QA AT Revisions 27 May math.AT/0208235

91. "JUN" -- Free Software! (Public) Easy to use, VisualWorks Smalltalkbased, OO, high level, application framework and 3D graphics library, supports geometry and topology shape manipulation. With references. Open Source, GPL http://www.sra.co.jp/people/aoki/Jun/GSletterJunPublic/index_e.html

Japanese English "JUN" Free Software! SI Business, Section 2 OO Group AOKI Atsushi mailto:aoki@sra.co.jp http://www.sra.co.jp/people/aoki/ (translated by Edgar M. Cooke Introduction High-quality computer graphics were only a few years ago the exclusive provenance of high-performance workstations, but with the general improvement in performance of computers nowadays, such functionality as become widely available. Advanced graphics now find widespread application in the fields of science, the arts, industrial design, and so forth, and the availability of 3D graphics in particular have even fostered creation of the entirely new field of virtual reality. Modes of visualization taking advantage of 3D graphics have great potential to permit the expression of aspects beyond the range of 2D graphics. Already, 3D graphics libraries such as OpenGL, Direct3D, and QuickDraw3D have become available to aid in developing applications that implement 3D graphics functionality. However, these libraries offer only primitive graphic functions, and to use them it is prerequisite that the developer have specialized knowledge the complex details of both hardware and 3D graphics. With this state of affairs, a framework for architecting high-level applications is highly desirable. In fact, several such frameworks already exist, some of which are commercially available. However, the frameworks heretofore available have emphasized only high-speed rendering, and although they may satisfactorily handle geometry, there are almost no examples of support for topology. To merely display 3D shapes, it may be sufficient to support geometry only, but to handle transformations of 3D shapes with integrity, topology support is essential. There are some expensive products available that handle topology, but these are realistically inaccessible to the average budget-constrained user.

92. Cascade Topology Seminar Cascade topology Seminar. The Cascade topology Seminar is a biannual gatheringof topologists from the Pacific Northwest and Southwestern Canada. Meetings. http://www.mth.pdx.edu/cts/

Cascade Topology Seminar The Cascade Topology Seminar is a bi-annual gathering of topologists from the Pacific Northwest and Southwestern Canada. Meetings Information regarding the next meeting Limited support from the National Science Foundation is available for participants in these meetings without grant support. First priority will go to graduate students and faculty from regional universities. Participants from other universities may be supported if funds are available. Return to the Department home page bleilers@pdx.edu - February 23, 2004 The Cascade Topology Seminar is partially funded by a grant from the National Science Foundation.

93. Towards Exploiting Link Evolution It describes how to compute incrementally PageRank when Web graph's link topology changes. PS format http://www.almaden.ibm.com/cs/people/siva/papers/linkevol.ps

94. Chapter 5: Topology What is a topology? Ethernet and LocalTalk networks use a linear bus topology.Fig. 1. Linear Bus topology. Advantages of a Linear Bus topology. http://fcit.usf.edu/network/chap5/chap5.htm

What is a Topology? The physical topology of a network refers to the configuration of cables, computers, and other peripherals. Physical topology should not be confused with logical topology which is the method used to pass information between workstations. Logical topology was discussed in the Protocol chapter . Main Types of Physical Topologies The following sections discuss the physical topologies used in networks and other related topics. Linear Bus Star Star-Wired Ring Tree ... Summary Chart Linear Bus A linear bus topology consists of a main run of cable with a terminator at each end (See fig. 1). All nodes (file server, workstations, and peripherals) are connected to the linear cable. Ethernet and LocalTalk networks use a linear bus topology. Fig. 1. Linear Bus topology Advantages of a Linear Bus Topology Easy to connect a computer or peripheral to a linear bus. Requires less cable length than a star topology. Disadvantages of a Linear Bus Topology Entire network shuts down if there is a break in the main cable. Terminators are required at both ends of the backbone cable.

95. The Mobile Robotics Lab At AASS University of Orebro, Sweden group specializing in topologybased maps, real-time deliberation, active perceptual anchoring, and fuzzy behavior-based control of mobile manipulators. http://aass.oru.se/Research/Robots/

The Mobile Robotics Lab at AASS Head: Alessandro Saffiotti Researchers: Mathias Broxvall Silvia Coradeschi Lars Karlsson PhD students: Abdelbaki Bouguerra Johan Larsson Kevin LeBlanc Amy Loutfi ... Zbigniew Wasik Our objective... is to advance the state of the art in the synthesis of intelligent physical agents capable of autonomous operation in natural environments. The world "natural" denotes real world environments that have not been specifically modified to accommodate the agents. Our approach... relies on the tight integration of theoretical investigation and practical experimentation. Investigation is based on tools borrowed from artificial intelligence, soft computing, and non-standard logics, esp. fuzzy logic Experiments are conducted on our pool of mobile robots in real environments. The results, however, are expected to apply to any complex system embedded in a physical environment. Our research projects... span the four main issues involved in the development of an autonomous embedded system: Environment Modeling: Topology-based maps Hybrid maps Real-time deliberation Generating and executing plans under uncertainty Perception: Anchoring symbols to sensor data Active perceptual anchoring Motor Control: Fuzzy behavior-based control of a mobile manipulator Logical account of fuzzy control plus an horizontal issue: Cooperation: Robot team coordination Publications Private pages Last updated on Apr 17, 2003 by

96. Topology, 2/E - Prentice Hall Catalog topology.org personal web site of Alan Kenningtontopology.org your gateway to Alan Kennington s mind. = site information, PC `rat 1 2, my computers, why `topology , classification, disclaimer. http://vig.prenhall.com/catalog/academic/product/1,4096,0131816292,00.html

Select a Discipline Accounting and Taxation Agriculture Anthropology Applications Software Art Bioengineering Biology BRADY: EMS/Emergency Medical Services Business Communications Business Law Business Math Business Programming Business Studies CAD/Engineering Graphics/Drafting Chemical Engineering Chemistry Civil and Environmental Engineering Civil/Construction Technology Clinical Lab Science/Medical Technology Communication Computer Arts Computer Concepts Computer Science Computer Training and Certification Counseling Criminal Justice Decision Science Dental Hygiene/Dental Assisting Economics Education: Agricultural Education Education: Curriculum and Instruction Education: Early Childhood Education Education: Ed Administration and Leadership Education: Ed Psych and Tests and Measurements Education: Foundations of Education Education: Instructional Technology Education: Reading and Literacy Education: Special Education Electrical Engineering Electronics and Computer Technology English: Composition English: Developmental English: Literature and Film Environmental Technology Fashion Finance Fire/Police Science Foods and Nutrition General Engineering Geography Geology/Oceanography Health Professions History Hospitality and Travel/Tourism Industrial Engineering Insurance Interior Design Introduction to Business Journalism Management Marketing Massage Therapy Mathematics Mech/Manufacturing/Industrial Tech Mechanical Engineering Medical Assisting MIS Music Nursing - LPN/LVN Nursing - RN Nursing Assistant Paralegal/Legal Assisting Philosophy Physical Therapy/Occupational Therapy

97. Simulation Software Development Frameworks simulation software development frameworks preferablydiscreteevent, open source and free. http://www.topology.org/soft/sim.html

simulation software development frameworks preferably discrete-event, open source and free free discrete-event simulation lists of simulation links network simulation software commercial discrete-event simulation ... network emulation software free discrete-event simulation software name/link comments conditions OS Omnet++ Omnet++ is a discrete-event simulation software development environment written in C++, developed by Andras Varga etc. This has a rapidly increasing user base now, with lots of useful modules, an active mailing list and even workshops Open source. Academic Public Licence linux unix MS Desmo-J Discrete event simulation framework in Java. (Also has jump-page desmoj.de GPL unix, MS, Mac Ptolemy Ptolemy seems to be a discrete-event simulation environment, developed at University of California at Berkeley. Written in Java. Seems to be free, with source. linux unix MS Swarm According to this slide , ``Swarm is a collection of object oriented software libraries which provide support for simulation programming.'' Libraries are written in Objective C and Tcl/Tk. GPL unix MS RePast ``The University of Chicago's Social Science Research Computing's RePast is a software framework for creating agent based simulations using the Java language.'' ``It provides a library of classes for creating, running, displaying and collecting data from an agent based simulation.''

98. Events: Topology, Geometry And Quantum Field Theory Mathematical Institute, University of Oxford, UK; 2429 June 2002. http://www.maths.ox.ac.uk/notices/events/special/tgqfts/

University of Oxford Mathematical Institute Locator: Home Events Site Map Topology, Geometry and Quantum Field Theory Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of supersymmetry and string theory. The topics of this symposium were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Its purpose was to bring experts in topology, geometry and string theory together. The Symposium took place in Oxford from 24-29 June 2002, and the conference dinner was held in honor of Graeme Segal's 60th birthday. The organizer was U. Tillmann. Participants List of participants Photos Conference photos are now available Proceedings All speakers and participants of the symposium are invited to contribute. Submissions from other members of the scientific community will also be considered. The proceedings will be refereed. The aim is to have a mixture of high quality survey articles, preliminary reports on important research developments, and research articles of a good standard. Please note the following deadlines: 15 Sep. 2002

99. Index Of /~mischaik/courses/Math4432 Book by T. Kaczynski, K. Mischaikow, and M. Mrozek in PostScript. http://www.math.gatech.edu/~mischaik/courses/Math4432/

Index of /~mischaik/courses/Math4432 Name Last modified Size Description ... math4432.html 05-Apr-2000 11:13 1.1K Apache Server at www.math.gatech.edu Port 80

100. ©ÝåN²£·~¬ã¨s©Ò The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www.topology.com.tw/

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