Plus construction

id: plus-construction-265-8045400
title: Plus construction
text: In mathematics, the plus construction is a method for simplifying the fundamental group of a space without changing its homology and cohomology groups. Explicitly, if X is a based connected CW complex and P is a perfect normal subgroup of π 1 then a map f : X → Y is called a +-construction relative to P if f induces an isomorphism on homology, and P is the kernel of π 1 → π 1 . The plus construction was introduced by Michel Kervaire (1969), and was used by Daniel Quillen to define algebraic K-th
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Plus_construction
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date modified: 2024-01-22T19:00:26Z
main entity: {"identifier":"Q7205616","url":"https://www.wikidata.org/entity/Q7205616"}
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