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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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Embeddings into Euclidean spaces and the deleted product obstruction
by
Joze Malesic
Institute of mathematics, physics and mechanics, Ljubljana, Slovenia

Two counterexamples are constructed:

an example of 3-dimensional manifold N with boundary which is not embeddable in R3 but there exists an equivariant mapping j: \Sigma[N\tilde] --> \SigmaS2; and

an example of a closed smooth 4k-dimensional manifold which does not smoothly embed into R6k-1, but there exists an equivariant mapping [N\tilde] --> S6k-2. (Here [N\tilde] = N×N \(\DeltaN), where \DeltaN is the diagonal.)

Date received: July 29, 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-34.