Classifying finite-sheeted covering mappings of paracompact spaces
- Autores: Vlasta Matijevic
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 16, Nº 1, 2003, págs. 311-327
- Idioma: inglés
- DOI: 10.5209/rev_rema.2003.v16.n1.16883
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Resumen
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]).
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