Abstract
We present a family of fibrations over the Hawaiian earring that are inverse limits of regular covering spaces over the Hawaiian earring. These fibrations satisfy unique path lifting, and as such serve as a good extension of covering space theory in the case of nonsemi-locally simply connected spaces. We give a condition for when these fibrations are path-connected.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
McGinnis, Stewart Mason, "Regular Fibrations over the Hawaiian Earring" (2019). Theses and Dissertations. 7366.
https://scholarsarchive.byu.edu/etd/7366
Date Submitted
2019-04-01
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd10642
Keywords
Hawaiian earring, inverse limit, fibration, path-connected
Language
english