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2004 On the homotopy invariance of configuration spaces
Mokhtar Aouina, John R Klein
Algebr. Geom. Topol. 4(2): 813-827 (2004). DOI: 10.2140/agt.2004.4.813

Abstract

For a closed PL manifold M, we consider the configuration space F(M,k) of ordered k–tuples of distinct points in M. We show that a suitable iterated suspension of F(M,k) is a homotopy invariant of M. The number of suspensions we require depends on three parameters: the number of points k, the dimension of M and the connectivity of M. Our proof uses a mixture of Poincaré embedding theory and fiberwise algebraic topology.

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Mokhtar Aouina. John R Klein. "On the homotopy invariance of configuration spaces." Algebr. Geom. Topol. 4 (2) 813 - 827, 2004. https://doi.org/10.2140/agt.2004.4.813

Information

Received: 29 January 2004; Revised: 4 July 2004; Accepted: 23 September 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1052.55020
MathSciNet: MR2100681
Digital Object Identifier: 10.2140/agt.2004.4.813

Subjects:
Primary: 55R80
Secondary: 55R70, 57Q35

Rights: Copyright © 2004 Mathematical Sciences Publishers

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