Bazsites.com Topological
Directory Topics
On the Web
- A History of Topology - Topological ideas, concepts and functional analysis.
- General Topology and References - Branch of topology which studies elementary properties.
- Algebraic Topology Discussion List - The primary functions of this list are: providing abstracts of papers posted to the Hopf archive, providing information about topology conferences, and serving as a forum for topics related to algebraic topology. The site also serves as an archive of links to websites related to algebraic topology.
- Algebraic Topology - An encyclopedic reference containing definitions, some discussion, and an assortment of useful links to various resources concerning Algebraic Topology and K-Theory.
- Algebraic General Topology and Math Synthesis - Abstract topological objects expressing infinities with algebraic operations.
- Algebraic Topology and Concurrency - A collection of preprints on the applications of Algebraic Topology to Computer Science, such as the use of topological techniques to formulate synchronous models of distributed computing.
- Crystallographic Topology - The Topology of Crystallographic Groups and Simple Crystal Structures
- A General Topology ATM LAN - A research project investigating the architecture and management algorithms for a general topology.
- Algebraic Topology Textbook - A complete, downloadable, introductory text on Algebraic Topology, by Prof. Allen Hatcher, Cornell Univ. 3rd Ed. 553 pp. with illustrations. Available in pdf and postscript versions.
- Lviv University Math - Department of Geometry and Topology
Wikipedia Articles
- Topological quantum number - In physics, a topological quantum number is any quantity, in a physical theory, that takes on only one of a discrete set of values, due to topological considerations. Most commonly, topological quantum numbers are topological invariants associated with topological defects or soliton-type solutions of some set of differential equations modeling a physical system, as the solitons themselves owe their stability to topological considerations.
- Topological manifold - In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout mathematics.
- Topological quantum field theory - A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants. In condensed matter physics, topological quantum field theories are the
- Topological property - In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space X possesses that property every space homeomorphic to X possesses that property.
- Topological entropy (in physics) - The topological entanglement entropy, usually denoted by γ, is a number characterizing many-particle states that possess topological order. The short form topological entropy is often used, although the same name in ergodic theory refers to an unrelated mathematical concept (see topological entropy).