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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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Decompositions of stable homotopy equivalences
by
Petar Pavesic
Faculty of Mathematics and Physics, University of Ljubljana

Stable homotopy classes of self-maps of a space X form a ring with respect to addition and composition. When X splits as a wedge-sum this ring becomes a generalized matrix ring. We will show that under suitable conditions its group of units admits a Bruhat-type decomposition, yielding a method for the computation of the group of stable self-homotopy equivalences of X.

Date received: August 16, 2002

Copyright © 2002 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 # caje-47.