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BMS-DMV LIEGE 2001
June 8-10, 2001
University of Liège
Liège, Belgium

Organizers
Klaus D. Bierstedt, J. Schmets

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Fibrewise suspension and L.-S. category
by
Lucile Vandembroucq
Freie Universitat Berlin

We study a new approximation, denoted by Qcat, of the Lusternik Schnirelmann category which has been introduced recently by H. Scheerer, D. Stanley, and D. Tanré. This invariant can be characterized by means of the iterated fibrewise suspensions of the Ganea fibrations. We obtain in particular a product formula for Qcat. This leads to sufficient conditions for a space X to satisfy the Ganea conjecture i.e., cat(X ×Sn) = cat(X)+1 and new examples of such spaces are given.

Date received: February 28, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafv-59.