Classifying finite-sheeted covering mappings of paracompact spaces.

Vlasta Matijevic

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 1, page 311-327
  • ISSN: 1139-1138

Abstract

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The main result of the present paper is a classification theorem for finite-sheeted covering mappings over connected paracompact spaces. This theorem is a generalization of the classical classification theorem for covering mappings over a connected locally pathwise connected semi-locally 1-connected space in the finite-sheeted case. To achieve the result we use the classification theorem for overlay structures which was recently proved by S. Mardesic and V. Matijevic (Theorems 1 and 4 of [5]).

How to cite

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Matijevic, Vlasta. "Classifying finite-sheeted covering mappings of paracompact spaces.." Revista Matemática Complutense 16.1 (2003): 311-327. <http://eudml.org/doc/44500>.

@article{Matijevic2003,
abstract = {The main result of the present paper is a classification theorem for finite-sheeted covering mappings over connected paracompact spaces. This theorem is a generalization of the classical classification theorem for covering mappings over a connected locally pathwise connected semi-locally 1-connected space in the finite-sheeted case. To achieve the result we use the classification theorem for overlay structures which was recently proved by S. Mardesic and V. Matijevic (Theorems 1 and 4 of [5]).},
author = {Matijevic, Vlasta},
journal = {Revista Matemática Complutense},
keywords = {Recubrimientos topológicos; Espacio paracompacto; Teoría de la forma; Topología algebraica; classificaton},
language = {eng},
number = {1},
pages = {311-327},
title = {Classifying finite-sheeted covering mappings of paracompact spaces.},
url = {http://eudml.org/doc/44500},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Matijevic, Vlasta
TI - Classifying finite-sheeted covering mappings of paracompact spaces.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 311
EP - 327
AB - The main result of the present paper is a classification theorem for finite-sheeted covering mappings over connected paracompact spaces. This theorem is a generalization of the classical classification theorem for covering mappings over a connected locally pathwise connected semi-locally 1-connected space in the finite-sheeted case. To achieve the result we use the classification theorem for overlay structures which was recently proved by S. Mardesic and V. Matijevic (Theorems 1 and 4 of [5]).
LA - eng
KW - Recubrimientos topológicos; Espacio paracompacto; Teoría de la forma; Topología algebraica; classificaton
UR - http://eudml.org/doc/44500
ER -

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