Title:``Spaces with Lusternik-Schnirelmann category n and cone length n+1''
Author: Don Stanley
AMS-classification number: 55P50
Address:
Don Stanley
Freie Universitaet Berlin
Institut fur Mathematik II
Arnimallee 3
14195 Berlin
Germany
email: stanley@math.fu-berlin.de
Abstract:
We construct a series of spaces, $X(n)$, for each $n>0$, such that
$cat(X(n))=n$ and $cl(X(n))=n+1$. We show that the Hopf invariants
determine whether the category of a space goes up when attaching a cell
of top dimension. We give a new proof of counterexamples to Ganea's
conjecture. Also we introduce some techniques for manipulating
cone decompositions.