Term of Award
Spring 2014
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Department
Department of Mathematical Sciences
Committee Chair
Frederic Mynard
Committee Member 1
Jimmy Dillies
Committee Member 2
Greg Michalski
Abstract
We introduce two generalizations to convergence approach spaces of classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other. Characterizations are obtained for two alternative extensions of reg- ularity to convergence-approach spaces: regularity and strong regularity. Along the way, we give a brief overview of the theory of convergence spaces and of convergence approach spaces.
Recommended Citation
Trott, William D., "Elements of Convergence Approach Theory" (2014). Electronic Theses and Dissertations. 1095.
https://digitalcommons.georgiasouthern.edu/etd/1095
