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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Mathematics

Brigham Young University

Theses/Dissertations

2019

Inverse limit

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Full-Text Articles in Physical Sciences and Mathematics

Regular Fibrations Over The Hawaiian Earring, Stewart Mason Mcginnis Apr 2019

Regular Fibrations Over The Hawaiian Earring, Stewart Mason Mcginnis

Theses and Dissertations

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.