Classifying finite-sheeted covering mappings of paracompact spaces (CROSBI ID 101534)
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Matijević, Vlasta
engleski
Classifying finite-sheeted covering mappings of paracompact spaces
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. Mardešić and V. Matijević.
Shape; resolution; inverse system overlay; covering mapping; paracompact space; fundamental group; fundamental progroup
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