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cohomology

From Wiktionary, the free dictionary

English

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EnglishWikipedia has an article on:
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Etymology

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Fromco- +‎homology.

Noun

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cohomology (countable anduncountable,pluralcohomologies)

  1. (mathematics) A method ofcontravariantly associating a family ofinvariantquotient groups to each algebraic or geometric object of acategory, including categories of geometric and algebraic objects.
    • 2001, William Dwyer, Hans-Werner Henn,Homotopy Theoretic Methods in Group Cohomology, Springer Science & Business,→ISBN,page55:
      In section 1 we start off by recalling some fundamental results incohomology of groups, in particular the Evens–Venkov result on finite generation of thecohomology ring (Theorem 2) and Quillen's landmark result which describesH*BG up toF-isomorphism (Theorem 5).
  2. (mathematics) A system ofquotient groups associated to atopological space.

Derived terms

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Translations

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theory
system
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