Date of Award:
5-1978
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Mathematics
Committee Chair(s)
E. Robert Heal
Committee
E. Robert Heal
Abstract
The purpose of this paper is to examine the important topological properties of the function spaces BC(X,Y) and C(X,Y). Emphasis is given to the relationship between the metrizability of X and the separability of these function spaces. The paper is divided into three major parts: the preliminary definitions and theorems; the relationship between the topological properties of X and BC (X ,Y), for compact X; and the extension of the results of Part II for X not compact and for the case when we have C(X, Y).
Checksum
46167b2d3af890d4032bf89e40cc86fa
Recommended Citation
Schwendiman, Chris Alan, "Topological Properties of C(X, Y)" (1978). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6949.
https://digitalcommons.usu.edu/etd/6949
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