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Low-Dimensional Topology and Combinatorial Group Theory
July 31 - August 7, 1999
Chelyabinsk State University
Chelyabinsk, Russia

Organizers
Sergei V. Matveev

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Cell-like resolutions of polyhedra by special ones
by
Dušan Repovš
University of Ljubljana
Coauthors: A. Skopenkov

A resolution of a space P is a pair (Q, f), where Q is a space (in a certain sense better than P) and f:Q® P is an onto map (in some sense good). In this paper we construct resolutions of polyhedra by maps with simple point-inverses (i.e. cell-like maps) by polyhedra with simple singularities and structure (i.e. fake surfaces and special polyhedra).

Date received: June 3, 1999

Copyright © 1999 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 # cadc-04.