A Comparison of the Deck Group and the Fundamental Group on Uniform Spaces Obtained by Gluing

We de…ne a uniformity on a glued space under uniformly continuous attachment maps. If the component spaces are uniform coverable then the resulting glued space is uniform coverable. We consider examples including the glued uniformity on a …nite dimensional CW complex which is shown to be uniformly c...

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Bibliographic Details
Main Author: Phillippi, Raymond David
Published: Trace: Tennessee Research and Creative Exchange 2007
Subjects:
Online Access:http://trace.tennessee.edu/utk_graddiss/264