cohomology

cohomology noun: a method of contravariantly associating a family of invariant quotient groups to each algebraic or geometric object of a category, including categories of geometric and algebraic objects.

Noun

cohomology (countable and uncountable, plural cohomologies)

A method of contravariantly associating a family of invariant quotient groups to each algebraic or geometric object of a category, including categories of geometric and algebraic objects.
- In section 1 we start off by recalling some fundamental results in cohomology of groups, in particular the Evens–Venkov result on finite generation of the cohomology ring (Theorem 2) and Quillen's landmark result which describes H*BG up to F-isomorphism (Theorem 5).2001, William Dwyer, Hans-Werner Henn, Homotopy Theoretic Methods in Group Cohomology, Springer Science & Business, →ISBN, page 55
A system of quotient groups associated to a topological space.

Forms of cohomology

plural	cohomologies

Origin of cohomology

From co- + homology.

Words formed from cohomology

hypercohomology

Words that rhyme with cohomology

48 more rhymesFewer rhymes

Questions about cohomology

What does cohomology mean?: Cohomology means a method of contravariantly associating a family of invariant quotient groups to each algebraic or geometric object of a category, including categories of geometric and algebraic objects.
What part of speech is cohomology?: Cohomology is a noun.
What is the plural of cohomology?: The plural of cohomology is cohomologies.

Words near cohomology in the dictionary

Adapted from Wiktionary: cohomology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated: 2026-09-02

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