Title of Paper:
Ganea's conjecture on Lusternik-Schnirelmann category
Author:
Norio Iwase
AMS Classification numbers:
Primary 55M30, Secondary 55P35, 55Q25, 55R35, 55S36.
Addresses of Author:
Graduate School of Mathematics,
Kyushu University, Japan.
Email addresses of Authors:
n.iwase@maths.abdn.ac.uk
Text of Abstract:
A series of complexes $Q_p$ indexed by all primes $p$ is constructed
with $\cat{Q_p} = 2$ and $\cat{Q_p{\times}S^n} = 2$ for either
$n \geq 2$ or $n = 1$ and $p = 2$. This disproves Ganea's conjecture
on Lusternik-Schnirelmann category.