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.
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.
Hawaiian earring, inverse limit, fibration, path-connected