Publication:
Brown's representability theorem and branched coverings

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1994

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Universidad Nacional de Colombia
Colciencias

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Abstract

It is well known that Brown's Representability Theorem has many applications. The proof of the existence of a universal bundle for a topological group (see (4]) and the proof that any space can be approximated by CWcomplexes (see (8]) are among those applications. Here we preve the existence of classifying spaces for branched coverings over CW-complexes using Brown's Theorem as the main tool.

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