Poincaré complex

id: poincar-complex-305-9605503
title: Poincaré complex
text: In mathematics, and especially topology, a Poincaré complex is an abstraction of the singular chain complex of a closed, orientable manifold. The singular homology and cohomology groups of a closed, orientable manifold are related by Poincaré duality. Poincaré duality is an isomorphism between homology and cohomology groups. A chain complex is called a Poincaré complex if its homology groups and cohomology groups have the abstract properties of Poincaré duality. A Poincaré space is a topological
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Poincar%C3%A9_complex
date created:
date modified: 2021-04-22T06:43:20Z
main entity: {"identifier":"Q7207863","url":"https://www.wikidata.org/entity/Q7207863"}
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fields total: 13
integrity: 13

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