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List of algebraic topology topics : ウィキペディア英語版
List of algebraic topology topics
This is a list of algebraic topology topics, by Wikipedia page. See also:
*topology glossary
*List of topology topics
*List of general topology topics
*List of geometric topology topics
*Publications in topology
* Topological property
==Homology (mathematics)==
(詳細はSimplex
*Simplicial complex
*
*Polytope
*
*Triangulation
*
*Barycentric subdivision
*
*Simplicial approximation theorem
*
*Abstract simplicial complex
*
*Simplicial set
*
*Simplicial category
*Chain (algebraic topology)
*Betti number
*Euler characteristic
*
*Genus
*
*Riemann–Hurwitz formula
*Singular homology
*Cellular homology
*Relative homology
*Mayer–Vietoris sequence
*Excision theorem
*Universal coefficient theorem
*Cohomology
*
*List of cohomology theories
*
*Cocycle class
*
*Cup product
*
*Cohomology ring
*
*De Rham cohomology
*
*Čech cohomology
*
*Alexander–Spanier cohomology
*
*Intersection cohomology
*
*Lusternik–Schnirelmann category
*Poincaré duality
*Fundamental class
*''Applications''
*
*Jordan curve theorem
*
*Brouwer fixed point theorem
*
*Invariance of domain
*
*Lefschetz fixed-point theorem
*
*Hairy ball theorem
*
*Degree of a continuous mapping
*
*Borsuk–Ulam theorem
*
*Ham sandwich theorem
*
*Homology sphere

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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