Bulletin of the London Mathematical Society



Notes and Papers

GANEA'S CONJECTURE ON LUSTERNIK–SCHNIRELMANN CATEGORY


NORIO IWASE a1p1
a1 Graduate School of Mathematics, Kyushu University, Fukuoka 810-0044, Japan

Abstract

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

(Received July 21 1997)
(Revised October 20 1997)


Correspondence:
p1 Current Address: Department of Mathematical Sciences, University of Aberdeen, King's College, Aberdeen AB24 3UE.