Full paper in PDF:
$% V. Matijević, Classifying finite-sheeted covering mappings of paracompact spaces, Rev. Mat. Complut. 16 (2003), 311–327.%$

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. Mardei and V. Matijevi (Theorems 1 and 4 of Mardei-Matijevi, 2001).

Key words: shape, resolution, inverse system, overlay. covering mapping, paracompact space, fundamental group, fundamental progroup.
2000 Mathematics Subject Classification: 57M10, 55P55, 55Q07, 54B35, 54C56.