Whitehead torsion

id: whitehead-torsion-283-2172570
title: Whitehead torsion
text: In geometric topology, a field within mathematics, the obstruction to a homotopy equivalence f : X → Y of finite CW-complexes being a simple homotopy equivalence is its Whitehead torsion τ which is an element in the Whitehead group Wh ⁡ . These concepts are named after the mathematician J. H. C. Whitehead. The Whitehead torsion is important in applying surgery theory to non-simply connected manifolds of dimension > 4: for simply-connected manifolds, the Whitehead group vanishes, and thus homotop
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original url: https://en.wikipedia.org/wiki/Whitehead_torsion
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date modified: 2024-04-05T13:08:13Z
main entity: {"identifier":"Q7996043","url":"https://www.wikidata.org/entity/Q7996043"}
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