Honors Program Theses
Award/Availability
Open Access Honors Program Thesis
First Advisor
Adrienne M. Stanley
Abstract
The intent of this study is to find sufficient criteria on a space X in order to bound the cardinality of the real-valued continuous functions on X by 2w. The desired result is known for X separable and for X first-countable, Hausdorff, and either Lindelof or ccc, but these are all very strong properties on a space. It is the goal of this study to find properties that are weaker, yet sufficient in bounding .the number of real-valued continuous functions on a space by the size of the continuum.
Year of Submission
2006
Department
Department of Mathematics
University Honors Designation
A thesis submitted in partial fulfillment of the requirements for the designation University Honors
Date Original
5-2006
Object Description
1 PDF file (1 volume)
Copyright
©2006 Dusty Ross
Recommended Citation
Ross, Dusty, "A Brief Study of Real-Valued Continuous Functions on Various Spaces" (2006). Honors Program Theses. 653.
https://scholarworks.uni.edu/hpt/653
Comments
If you are the rightful copyright holder of this thesis and wish to have it removed from the Open Access Collection, please submit a request to scholarworks@uni.edu and include clear identification of the work, preferably with URL.