On irreducible mappings into polyhedra

Every mapping f of a normal space X into an arbitrary polyhedron, endowed with the CW-topology, can be approximated by an irreducible mapping g into some subpolyhedron. If f is already irreducible on a subset A of X, one can achieve that f and g coincide on A.

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Bibliographic Details
Published in:Topology and its applications 1995-02, Vol.61 (2), p.187-203
Main Authors: Mardešić, Sibe, Uglešić, Nikica
Format: Article
Language:English
Subjects:
Canonical mapping
Covering
CW-topology
Essential mapping
Irreducible mapping
Nerve
Polyhedron
Simplicial complex
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Description
Summary:Every mapping f of a normal space X into an arbitrary polyhedron, endowed with the CW-topology, can be approximated by an irreducible mapping g into some subpolyhedron. If f is already irreducible on a subset A of X, one can achieve that f and g coincide on A.
ISSN:0166-8641
1879-3207
DOI:10.1016/0166-8641(94)00027-Z