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单词 cohomology
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Examples ofcohomology

Dictionary> Examples ofcohomology
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These truncatedcohomologyclasses are something between relativecohomologyclasses and representatives of relativecohomologyclasses.
From theCambridge English Corpus
They are still expanding today notably in thecohomologytheories used in many branches of mathematics.
From theCambridge English Corpus
We now introduce the dual description of l. f. actions in terms of differential forms, leading to thecohomology.
From theCambridge English Corpus
First, we consider a compatibility of the weight spectral sequences with the cup-product with acohomologyclass.
From theCambridge English Corpus
Finally, the above notion of invariant cycliccohomologyis complementary to the theory developed in [14, 15].
From theCambridge English Corpus
Let us summarize the basic properties of absolutecohomology.
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This complex is not elliptic, and the leafwisecohomologycan be infinite-dimensional in general.
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The first is that the hypercohomology of this complex of sheaves always agrees with thecohomologyof the complex of global sections.
From theCambridge English Corpus
Moreover, if there is a product defined on the level of complexes, then we obtain a cup product in relativecohomology.
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The following gives an example of the formalism developed for truncatedcohomology.
From theCambridge English Corpus
We do not even know whether the correspondingcohomologygroups satisfy the weak purity condition.
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To proceed, we need to recall an elementary fact about groupcohomology.
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Our finite element spaces will arise as the spaces in finite-dimensional subcomplexes which inherit thecohomologyand other features of the exact complexes.
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In order to discretize the fundamental laws of electromagnetism properly, it is important to appreciate their link with differential geometry and algebraic topology (cohomologytheory).
From theCambridge English Corpus

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

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