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searching for Topological category 16 found (20 total)

Musical gesture (847 words) [view diff] exact match in snippet view article find links to article

of a topological category (in the musical case: time, position and pitch). Since the set of gestures of given skeleton and topological category defines

Category of topological vector spaces (780 words) [view diff] exact match in snippet view article find links to article

Topological category

Topological half-exact functor (172 words) [view diff] exact match in snippet view article find links to article

mathematics, a topological half-exact functor F is a functor from a fixed topological category (for example CW complexes or pointed spaces) to an abelian category

Surgery exact sequence (3,121 words) [view diff] exact match in snippet view article find links to article

∈ I m ( θ ) {\displaystyle u\in \mathrm {Im} (\theta )} . In the topological category the surgery obstruction map can be made into a homomorphism. This

Whitehead torsion (1,897 words) [view diff] exact match in snippet view article find links to article

differentiable and PL categories. The proofs are much harder in the topological category, requiring the theory of Robion Kirby and Laurent C. Siebenmann.

Almost disjoint sets (688 words) [view diff] exact match in snippet view article find links to article

is used in some other sense, or in the sense of measure theory or topological category. Here are some alternative definitions of "almost disjoint" that

Category of metric spaces (579 words) [view diff] exact match in snippet view article find links to article

descriptions of redirect targets Category of topological vector spaces – Topological category Aronszajn, N.; Panitchpakdi, P. (1956), "Extensions of uniformly

Bring's curve (1,018 words) [view diff] exact match in snippet view article find links to article

maximize the systole length among compact Riemann surfaces in its topological category (that is, surfaces having the same genus) despite maximizing the

Pointed space (876 words) [view diff] exact match in snippet view article find links to article

descriptions as a fallback Category of topological vector spaces – Topological category Gamelin, Theodore W.; Greene, Robert Everist (1999) [1983]. Introduction

Homotopy (3,271 words) [view diff] exact match in snippet view article find links to article

which moves K1 to K2. This is the appropriate definition in the topological category. Similar language is used for the equivalent concept in contexts

Knot (mathematics) (2,508 words) [view diff] exact match in snippet view article

(or PL or tame topologically) knot in the 3-sphere. In the tame topological category, it's known that the n-sphere does not knot in the n + 1-sphere for

Surgery structure set (869 words) [view diff] exact match in snippet view article find links to article

Topological Spheres: The generalized Poincaré conjecture in the topological category says that S s ( S n ) {\displaystyle {\mathcal {S}}^{s}(S^{n})} only

Frank Quinn (mathematician) (330 words) [view diff] exact match in snippet view article

assembly map, that enables a functorial description of surgery in the topological category, with his thesis advisor, William Browder, the development of an

Surgery theory (3,414 words) [view diff] exact match in snippet view article find links to article

manifolds and manifolds with hyperbolic fundamental group. In the topological category, the surgery exact sequence is the long exact sequence induced by

Teichmüller space (4,994 words) [view diff] exact match in snippet view article find links to article

arbitrary semisimple Lie group. All definitions above can be made in the topological category instead of the category of differentiable manifolds, and this does

Directed algebraic topology (2,358 words) [view diff] exact match in snippet view article find links to article

category structure. He introduced a topological version (here a topological category means a category equipped with a topological forgetful functor towards