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

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

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