- topological contractibility
- мат. топологическая стягиваемость
Большой англо-русский и русско-английский словарь. 2001.
topological contractibility
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Contractibility of unit sphere in Hilbert space — In topology, it is a surprising fact that the unit sphere in (infinite dimensional) Hilbert space is a contractible space, sinceno finite dimensional spheres are contractible.This can be demonstrated in several different ways. Topological proof… … Wikipedia
Kuiper's theorem — In mathematics, Kuiper s theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite dimensional, complex Hilbert space H. It states that the space GL(H) of invertible bounded endomorphisms H is such that all maps … Wikipedia
Fixed point (mathematics) — Not to be confused with a stationary point where f (x) = 0. A function with three fixed points In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is a point[1] that is … Wikipedia
Simply connected space — In topology, a topological space is called simply connected (or 1 connected) if it is path connected and every path between two points can be continuously transformed, staying within the space, into any other path while preserving the two… … Wikipedia
List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… … Wikipedia
Deformation retract — Retract redirects here. For other meanings including concepts in group theory and category theory, see Retraction (disambiguation). In topology, a branch of mathematics, a retraction [1], as the name suggests, retracts an entire space into a… … Wikipedia
Dunce hat (topology) — For the item of clothing designed to be humiliating, now rarely used, see dunce cap. To get a dunce hat, take a solid triangle and successively glue together all three sides with the indicated orientation. In topology, the dunce hat is a compact… … Wikipedia
A∞-operad — In the theory of operads in algebra and algebraic topology, an A∞ operad is a parameter space for a multiplication map that is associative up to all higher homotopies, but not necessarily commutative. (An operad that describes a multiplication… … Wikipedia
Closed and exact differential forms — In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form that is the exterior derivative of another … Wikipedia
Aspherical space — In topology, an aspherical space is a topological space with all higher homotopy groups equal to {0}. If one works with CW complexes, one can reformulate this condition: an aspherical CW complex is a CW complex whose universal cover is… … Wikipedia
Weakly contractible — In mathematics, a topological space is said to be weakly contractible if all of its homotopy groups are trivial.PropertyIt follows from Whitehead s Theorem that if a CW complex is weakly contractible then it is contractible.ExampleDefine S^infty… … Wikipedia
