Examples of cohomology

cohomology isn’t in the Cambridge Dictionary yet. You can help!
These truncated cohomology classes are something between relative cohomology classes and representatives of relative cohomology classes.
They are still expanding today notably in the cohomology theories used in many branches of mathematics.
We now introduce the dual description of l. f. actions in terms of differential forms, leading to the cohomology.
First, we consider a compatibility of the weight spectral sequences with the cup-product with a cohomology class.
Finally, the above notion of invariant cyclic cohomology is complementary to the theory developed in [14, 15].
Let us summarize the basic properties of absolute cohomology.
This complex is not elliptic, and the leafwise cohomology can be infinite-dimensional in general.
The first is that the hypercohomology of this complex of sheaves always agrees with the cohomology of the complex of global sections.
Moreover, if there is a product defined on the level of complexes, then we obtain a cup product in relative cohomology.
The following gives an example of the formalism developed for truncated cohomology.
We do not even know whether the corresponding cohomology groups satisfy the weak purity condition.
To proceed, we need to recall an elementary fact about group cohomology.
Our finite element spaces will arise as the spaces in finite-dimensional subcomplexes which inherit the cohomology and other features of the exact complexes.
In order to discretize the fundamental laws of electromagnetism properly, it is important to appreciate their link with differential geometry and algebraic topology (cohomology theory).

随便看

反思网英语在线翻译词典收录了377474条英语词汇在线翻译词条，基本涵盖了全部常用英语词汇的中英文双语翻译及用法，是英语学习的有利工具。