Topology

From Key-Phrase


Topology is a branch of geometry.

Topology: the study of surfaces. [1]

Topology is a branch of pure mathematics, related to Geometry. [2]

Topology is the study of spaces, and algebra is the study of structure. [3]

Topology - The general structure of a network. Some examples are star and ring topology. [4]

Topology is the study of geometric objects that are invariant under continuous deformations. [5]

Topology is a global quantity that characterizes the shape of space (see, e.g., Weeks 1985 for a general introduction). [6]

Topology: a geometric account of general topology, homotopy types, and the fundamental groupoid, Ellis Horwood, Chichester (1988) 460 pp. [7]

Topology: The research areas of KIAS members working in topology include low-dimensional topology, geometric topology, knot theory and transformation groups. [8]

Topology is a math discipline who treats of the research of invariants in a geometry cleared of all idea of measurement or of distance. [9]

Contents

ALGEBRAIC TOPOLOGY

Algebraic Topology- In Dave Rusin's Mathematical Atlas.

The site also serves as an archive of links to websites related to algebraic topology. [10]

See also: Science: Math: Algebra: Category Theory (40) Allen Hatcher's Homepage - Contains textbooks in Algebraic Topology, K-Theory, and 3-Manifolds.

GEOMETRIC TOPOLOGY

Geometric Topology. Preprints.

Algebraic and geometric topology (Proc. [11]

Science: Math: Topology: Geometric Topology Directory Home Categories Arts: Art History: Artists: E: Escher, M. C.

KNOT THEORY

Algebraic Topology, Knot Theory, and Topological Algebra. This group includes Profs. [12]

Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology. [13]

GENERAL TOPOLOGY

Kelley, J.L. General Topology. [14]

Willard, Stephen. General Topology. [15]

General Topology, Set-theoretic Topology, Set Theory, Topological Dynamics. [16]

LOW DIMENSIONAL

Knot theory, low dimensional manifolds and geometric topology. [17]

Low-dimensional geometry and topology. Kirby, Rob - Geometric topology. [18]

ARCHIVE

Hopf Topology Archive.

A preprint archive in algebraic topology. [19]

The Geometric Topology preprint archive, at xxx.lanl.gov . [20]

Members, preprints. (UK) University of Oxford - Topology group. [21]

TOPOLOGICAL

Pointfree Topology, Topological Categories, Closure Operators). [22]

Algebraic topology studies topological spaces by associating to them algebraic invariants. [23]

Algebraic topology is a powerful tool to study topological spaces, and the maps between them. [24]

SCIENCE MATH

You don't have permission to access /science/math/topology/knot-theory/research-oriented on this server.

TOP Science Math Topology Algebraic_Topology Algebraic K-Theory, Linear Algebraic Groups and Related Structures- TMR network coordinated in Bielefeld.

Science - Math - Topology - Events at Thumbshots.net Thumbshots. com | Thumbshots. org | Thumbshots. net | Research Leader in web preview technology. [25]

DIMENSIONAL TOPOLOGY

Topics: General ( Links to Low-dimensional Topology ) Conferences, Pages of Links, Knot Theory, 3-manifolds, Journals.

Interests: low-dimensional topology; TQFT's; braided categories. [26]

GROUP THEORY

Low-dimensional topology, geometric and combinatorial group theory; hyperbolic geometry.

Interests: Geometric group theory; low-dimensional topology. [27]

Group theory; low dimensional topology; 3-manifolds.

DISCUSSION LIST

Symplectic topology; Algebraic geometry.

The Topology of Crystallographic Groups and Simple Crystal Structures. [28]

Algebraic Topology Discussion List Algebraic Topology Discussion List This list is maintained by Don Davis. [29]

Geometries where the only reasonable tools are those of mathematical analysis, algebra and topology.

SEMINAR

The TTT is a topology seminar partially supported by the London Mathematical Society with vertices at Leicester, Manchester and Sheffield. [30]

What is Topology?An introductory essay by Neil Strickland, University of Sheffield. [31]

Topology-Geometry Seminar 2002 started on April 16, 2002. [32]

TOPOLOGY CONFERENCE

The "Cascade Topology Conference" will be June 7-8. [33]

Texas Geometry and Topology Conference- Held twice a year.

NETWORK

Yahoo!'s directory of network topology. [34]

The physical topology of a network is the actual geometric layout of workstations. [35]

INVARIANTS

Quantum algebra and topology; bibliography of Vassiliev invariants. [36]

B2 D. Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423-472. [37]

SPACES

Prerequisite(s): MATH 144. Elementary topology in metric spaces. [38]

Switzer: Algebraic topology - homology and homotopy. [39]

Homotopy theoretic aspects of string topology.

General topology (topological spaces, continuity, compactness, connectedness, quotient spaces), the fundamental group and covering spaces. [40]

Basic point set topology Fundamental group and covering spaces Algebraic topology-homology theory. [41]

RECOMMENDED BOOKS

MAA recommended books in General Geometric Algebraic and Differential Topology. [42]

MAA Basic Library List in TopologyMAA recommended books in General, Geometric, Algebraic and Differential Topology.

INCLUDING ARCHIVES

British Topology Home Page A source of pointers to Topology-related sites, including archives and conference announcements. [43]

A source of pointers to Topology-related sites including archives and conference announcements. [44]

MATH 4195.03: Topics in Topology and Functional Analysis. [45]

Preprint: math.GT/0107187 D. Chataur, A bordism aproach to string topology.

PLANAR MACHINES

Planar Machines - an Invitation to Topology.Java applets exploring configuration spaces. [46]

Topics: General, Conferences, Pages of Links, Knot Theory, 3-manifolds, Journals. Planar Machines - an Invitation to Topology.

TOPOLOGY ATLAS

Topology Atlas Preprints, abstracts, calendar, links, other resources. [47]

Topology Atlas at http://mail.mathatlas.yorku.ca/topology/.

Copyright 2001 Topology Atlas and The Summer Conference on Topology and its Applications. [48]

HOMOTOPY THEORY

Spanier: Algebraic topology. [49]

Algebraic Topology and Homotopy Theory. Publications.

Topology) Areas identified by non-MSC systems (e.g. [50]

Topology British Topology Home Page Geometry and Topology Topology Atlas More entries under Algebraic Topology. [51]

BRITISH TOPOLOGY

Topology Fact: is simply connected. [52]

Ralph Kopperman. Topological digital topology. [53]

Isaac Newton Institute, Cambridge, UK; 9--20 September 2002. 20. BTM18 - 18th British Topology Meeting. [54]

FIRST COURSE

A first course in general topology.

J. Munkres, Topology, A First Course, Prentice Hall, Inc. [55]

Text: Topology, second edition, by James Munkres. [56]

This section provides linkes to other websites that specialize in academic topics related to Topology.

GEOMETRY

Geometry and Algebraic Topology.

Application of algebraic topology to differential geometry. [57]

W. Massey, Algebraic Topology, An Introduction, Springer-Verlag, 1997. [58]

Topology of the plane, introductory algebraic topology, local connectivity, applications of topology to analysis. [59]

Categories

Categories: Science>Math>Topology

Subcategories: Algebraic Topology; Events; General Topology; Geometric Topology; Journals; Knot Theory; Research Groups; Software;


Last modified: October 26, 2004.

Links checked: July 4, 2006.

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