homotopic category

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• Homotopy category of chain complexes — In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences. It lies intermediate between the category of chain… …   Wikipedia

• Homotopy category — In mathematics, a homotopy category is a category whose objects are topological spaces and whose morphisms are homotopy classes of continuous functions. The homotopy category of all topological spaces is often denoted hTop or Toph.Homotopy… …   Wikipedia

• Derived category — In mathematics, the derived category D(C) of an abelian category C is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on C. The construction proceeds on the… …   Wikipedia

• N-category — In mathematics, n categories are a high order generalization of the notion of category. The category of (small) n categories n Cat is defined by induction on n by: * the category 0 Cat is the category Set of sets and functions, * the category ( n …   Wikipedia

• n-category — In mathematics, n categories are a high order generalization of the notion of category. The category of (small) n categories n Cat is defined by induction on n by: the category 0 Cat is the category Set of sets and functions, the category (n+1)… …   Wikipedia

• Homotopy — This article is about topology. For chemistry, see Homotopic groups. The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one… …   Wikipedia

• Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

• Topicity — Main article: stereochemistry In chemistry, topicity is the stereochemical relationship of substituents relative to the structure to which they are attached. Depending on the relationship, such groups can be heterotopic, homotopic, enantiotopic,… …   Wikipedia

• Covering space — A covering map satisfies the local triviality condition. Intuitively, such maps locally project a stack of pancakes above an open region, U, onto U. In mathematics, more specifically algebraic topology, a covering map is a continuous surjective… …   Wikipedia

• Path (topology) — The points traced by a path from A to B in R². However, different paths can trace the same set of points. In mathematics, a path in a topological space X is a continuous map f from the unit interval I = [0,1] to X f : I → X. The initial… …   Wikipedia

• Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …   Wikipedia