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The 1997 Spring Topology and Dynamics Conference
April 10-12, 1997
University of Southwestern Louisiana
Lafayette, LA, USA

Organizers
Bradd Clark, Kathleen Lopez, Vic Schneider, Roger Waggoner, Thelma West

View Abstracts

Maps of Spheres
by
Beverly L. Brechner
U of Florida
Coauthors: L. S. Husch (U of Tenn at Knoxville)

We study branched covering maps of the k-dimensional sphere Sk onto itself, and define a conjugacy invariant, the "limit history group", for such maps. Certain branched covering maps of S2 and S3, namely the "covering contractions", are then defined, and the following CHARACTERIZATION is obtained:

A covering contraction of S2 or S3 is conjugate to the standard covering contraction iff its limit history group is iseomorphic to the circle group (of rotations on S1).

Date received: April 6, 1997

Copyright © 1997 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 # caan-10.