英语释义

1. a part of the theory of topology in which groups are used to study the properties of topological spaces and which is related in a complementary way to homology theory — called also cohomology theory

片语

crystalline cohomologyIn mathematics, crystalline cohomology is a Weil cohomology theory for schemes introduced by and developed by . Its values are modules over rings of Witt vectors over the base field.

cohomology group上同岛

cohomology sequence上同凋列

cohomology endomorphism上同调环自同态

cohomology rings上同调环

Galois cohomologyIn mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois group A Galois group G associated to a field extension L/K acts in a natural way on some abelian groups, for example those constructed directly from L, but also through other Galois representations that may be derived by more abstract mean

equivariant cohomologyIn mathematics, equivariant cohomology is a theory from algebraic topology which applies to spaces with a group actio It can be viewed as a common generalization of group cohomology and an ordinary cohomology theory.

cohomology module上同担

英汉例句

• The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory.

  该语言是有意不断初级程度，避免层论的上同调理论。

• It discusses the relationship between left-supersymmetric structures on Lie superalgebra and its 1 th cohomology group.

  讨论了李超代数上的左超对称结构与其上的1维上同调群的关系。

• Singing on a broad range of men and women with cohomology cavity, cavity with male falsetto.

  唱法上音域宽广，男女同腔同调，男腔用假声。

• In this paper, we mainly discuss the procedure for computing the rational cohomology of quotients group actions in symplectic geometry.

  本文主要讨论辛几何中群作用的商的有理上同调的计算方法。

• Now, we obtain expectative results by apply cohomology to discussion of Analytical dynamics.

  本文将上同调用于讨论动力学方程，得到了预期的结果。

• And we also give some finiteness and vanishing results for generalized local cohomology modules under some conditions.

  且在一定条件下得到了有关广义局部上同调模的有限生成性和零化性质的几个结果。