naturally isomorphic space

  • 51Intersection homology — In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well suited for the study of singular spaces, discovered by Mark Goresky and Robert MacPherson in the fall of 1974 and developed by them… …

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  • 52Category theory — In mathematics, category theory deals in an abstract way with mathematical structures and relationships between them: it abstracts from sets and functions to objects and morphisms . Categories now appear in most branches of mathematics and in… …

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  • 53Hopf algebra — In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra, a coalgebra, and has an antiautomorphism, with these structures compatible.Hopf algebras occur naturally in algebraic… …

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  • 54Derived functor — In mathematics, certain functors may be derived to obtain other functors closely related to the original ones. This operation, while fairly abstract, unifies a number of constructions throughout mathematics. Contents 1 Motivation 2 Construction… …

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  • 55Riemann–Roch theorem — In mathematics, specifically in complex analysis and algebraic geometry, the Riemann–Roch theorem is an important tool in the computation of the dimension of the space of meromorphic functions with prescribed zeroes and allowed poles. It relates… …

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  • 56Kernel (set theory) — In mathematics, the kernel of a function f may be taken to be either*the equivalence relation on the function s domain that roughly expresses the idea of equivalent as far as the function f can tell , or *the corresponding partition of the domain …

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  • 57Simplicial homology — In mathematics, in the area of algebraic topology, simplicial homology is a theory with a finitary definition, and is probably the most tangible variant of homology theory. Simplicial homology concerns topological spaces whose building blocks are …

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  • 58Teichmüller modular group — In mathematics, a Teichmüller modular group, or mapping class group of a surface, or homeotopy group of a surface, is the group of isotopy classes of orientation preserving homeomorphisms of an oriented surface. It is also a group of… …

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  • 59Closed monoidal category — In mathematics, especially in category theory, a closed monoidal category is a context where we can take tensor products of objects and also form mapping objects . A classic example is the category of sets, Set, where the tensor product of sets A …

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  • 60Goddard–Thorn theorem — In mathematics, and in particular, in the mathematical background of string theory, the Goddard–Thorn theorem (also called the no ghost theorem) is a theorem about certain vector spaces. It is named after Peter Goddard and Charles Thorn. Contents …

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