Open Access Honors Program Thesis
Adrienne M. Stanley
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
Department of Mathematics
University Honors Designation
A thesis submitted in partial fulfillment of the requirements for the designation University Honors
1 PDF file (1 volume)
©2006 Dusty Ross
Ross, Dusty, "A Brief Study of Real-Valued Continuous Functions on Various Spaces" (2006). Honors Program Theses. 653.