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KNOTS in WASHINGTON 10 Japan-USA; workshop in Knot Theory
January 23-30, 2000
George Washington University
Washington, DC, USA

Organizers
Kazuaki Kobayashi, Jozef H. Przytycki, Yongwu Rong, Kouki Taniyama, Tatsuya Tsukamoto, Akira Yasuhara

Conference Homepage


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.