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Topology of 2-polyhedra in 3-manifolds
by
Dušan Repovš
University of Ljubljana (Ljubljana, Slovenia)
We shall present several results on special 2-polyhedra and fake surfaces. In particular, Repovs-Skopenkov theorem on resolving 2-polyhedra by fake surfaces (resp. special 2-polyhedra) and its application to a reduction of the Whitehead Asphericity Conjecture. We shall include the Brodsky-Repovs-Skopenkov work on thickenings of 2-polyhedra. We shall also present Mitchell-Przytycki-Repovs and Cavicchioli-Lickorish-Repovs results on spines of 3-manifolds with boundary of genus 1 (resp. genus > 1).
Date received: December 17, 1999
Copyright © 1999 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caea-02.