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2004 Implications of the Ganea condition
Norio Iwase, Donald Stanley, Jeffrey Strom
Algebr. Geom. Topol. 4(2): 829-839 (2004). DOI: 10.2140/agt.2004.4.829

Abstract

Suppose the spaces X and X×A have the same Lusternik–Schnirelmann category: cat(X×A)= cat(X). Then there is a strict inequality cat(X×(AB))< cat(X)+ cat(AB) for every space B, provided the connectivity of A is large enough (depending only on X). This is applied to give a partial verification of a conjecture of Iwase on the category of products of spaces with spheres.

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Norio Iwase. Donald Stanley. Jeffrey Strom. "Implications of the Ganea condition." Algebr. Geom. Topol. 4 (2) 829 - 839, 2004. https://doi.org/10.2140/agt.2004.4.829

Information

Received: 6 March 2004; Accepted: 30 September 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1067.55002
MathSciNet: MR2100682
Digital Object Identifier: 10.2140/agt.2004.4.829

Subjects:
Primary: 55M30

Rights: Copyright © 2004 Mathematical Sciences Publishers

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