GANEA'S CONJECTURE ON LUSTERNIK–SCHNIRELMANN CATEGORY

NORIO IWASE

doi:10.1112/S0024609398004548

Abstract

A series of complexes Qp indexed by all primes p is constructed with catQp=2 and catQp×Sn=2 for either n[ges ]2 or n=1 and p=2. This disproves Ganea's conjecture on Lusternik–Schnirelmann (LS) category.

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GANEA'S CONJECTURE ON LUSTERNIK–SCHNIRELMANN CATEGORY

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