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cohomologicity

noun

(mathematics) The condition of being cohomological

The cohomologicity of the two groups was studied in detail.

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cohomology

noun

(mathematics) 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.

The cohomology of the manifold is a fundamental concept in algebraic topology.

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cohomologies

noun

plural of cohomology

The cohomologies of the manifold are computed using spectral sequences.

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cohomological

adj

Of or pertaining to cohomology.

The cohomological properties of the manifold were studied in depth.

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cohomologically

adv

In cohomological terms.

In cohomological terms, the problem can be solved using spectral sequences.

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cohomologous

adj

(mathematics) Relating to, or part of a cohomology

The two vectors are cohomologous.

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