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

Author

Raymond David Phillippi, University of Tennessee - Knoxville

Date of Award

8-2007

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Mathematics

Major Professor

Conrad Plaut

Committee Members

Jurek Dydak, Nikolay Brodskiy, Joseph Macek

Abstract

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 coverable. For one dimensional CWcomplexes, the resulting deck group is equivalent to the fundamental group. Other properties of the deck group are explored.

Recommended Citation

Phillippi, Raymond David, "A Comparison of the Deck Group and the Fundamental Group on Uniform Spaces Obtained by Gluing. " PhD diss., University of Tennessee, 2007.
https://trace.tennessee.edu/utk_graddiss/264