cohomology

名词 n.
中文释义

英文释义

名词 n.
  1. 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. countable,uncountable
    — 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).
  2. A system of quotient groups associated to a topological space. countable,uncountable

词形变化

cohomologies plural

词汇关系

衍生词
hypercohomology

词源

Etymology tree
Proto-Indo-European *ḱe?
Proto-Indo-European *ḱóm
Proto-Italic *kom
Proto-Italic *kom-
Latin con-
Latin co-der.
English co-
English homology
English cohomology
From co- + homology.
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