In this paper, the study of k-fold branched coverings for which the branch set is a stratified set is considered. First of all, the existence of universal k-fold branched coverings over CW-complexes with stratified branch set is proved using Brown's Representability Theorem. Next, an explicit construction of universal k-fold branched coverings over manifolds is given. Finally, some homotopy and homology groups are computed for some specific examples of Universal k-fold branched coverings.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc279340 |
| Date | 05 1900 |
| Creators | Tejada, Débora |
| Contributors | Brand, Neal E., Hagan, Melvin R., Kung, Joseph P. S., Zamboni, Luca Quardo, 1962-, Jacob, Roy Thomas |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | v, 76 leaves : ill., Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Tejada, Débora |
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