| 单词 | Cohomology |
| 释义 | CohomologyCohomology is an invariant of a Topological Space, formally ``dual'' to Homology,and so it detects ``holes'' in a Space. Cohomology has more algebraic structure than Homology, making it into a graded ring (multiplication given by ``cup product''), whereas Homology is just a graded Abelian Group invariant of a Space. A generalized homology or cohomology theory must satisfy all of the Eilenberg-Steenrod Axioms with the exception of the dimension axiom. See also Aleksandrov-Cech Cohomology, Alexander-Spanier Cohomology,Cech Cohomology, de Rham Cohomology, Homology (Topology) |
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