BYU

Abstract by Trevor Garrity

Personal Infomation


Presenter's Name

Trevor Garrity

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Curtis Kent

Title

Path-connectedness of regular fibrations

Abstract

Covering spaces are a convenient way to study subgroups of the fundamental group of a topological space. Fibrations are a natural generalization of covering spaces that can provide more information on spaces that are not semi-locally simply connected. We present results on the path-connectedness of regular fibrations of connected, locally path-connected spaces, with emphasis on one-dimensional spaces.