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Большой англо-русский и русско-английский словарь. 2001.
topologists
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History of the separation axioms — In general topology, the separation axioms have had a convoluted history, with many competing meanings for the same term, and many competing terms for the same concept. Origins Before the current general definition of topological space, there… … Wikipedia
Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot … Wikipedia
Homology theory — In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. It can be broadly defined as the study of homology theories on topological spaces. Simple explanation At the… … Wikipedia
Counterexamples in Topology — Author(s) Lynn Arthur Steen J. Ar … Wikipedia
Exotic sphere — In differential topology, a mathematical discipline, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n sphere. That is, M is a sphere from the point of view of all its… … Wikipedia
Generic point — In mathematics, in the fields of general topology and particularly of algebraic geometry, a generic point P of a topological space X is an algebraic way of capturing the notion of a generic property: a generic property is a property of the… … Wikipedia
Acyclic models theorem — In Algebraic Topology, the Method of Acyclic Models, or Acyclic Models Theorem describes a process by which two homology theories can be shown to be isomorphic. The theorem was developed by topologists Samuel Eilenberg and Saunders MacLane. They… … Wikipedia
Homeomorphism — Topological equivalence redirects here; see also topological equivalence (dynamical systems). donut illustrating that they are homeomorphic. But there does not need to be a continuous deformation for two spaces to be homeomorphic.In the… … Wikipedia
Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) … Wikipedia
Möbius strip — This article is about the mathematical object. For musical group, see Mobius Band (band). A Möbius strip made with a piece of paper and tape. If an ant were to crawl along the length of this strip, it would return to its starting point having… … Wikipedia
Algebraic topology — is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism. In many situations this is too much to hope for… … Wikipedia
