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]).
@article{urn:eudml:doc:44500,
title = {Classifying finite-sheeted covering mappings of paracompact spaces.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {16},
year = {2003},
pages = {311-327},
zbl = {1060.57003},
mrnumber = {MR2031885},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44500}
}
Matijevic, Vlasta. Classifying finite-sheeted covering mappings of paracompact spaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 311-327. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44500/