Weaker forms of continuity
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- Martha Allred Keith (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
- Advisor
- Karl Gentry
Abstract: This paper is concerned with a study of various weaker forms of continuity. The definitions originated in [1], [2], and [4] . In Chapter I, the definitions of several types of continuity are given and examples are given to show that these are actually weaker than continuity. In Chapter II, our main definition, somewhat continuous function, is given and some elementary properties of this type of function are discussed. Chapter III is a discussion of weakly equivalent topologies and the relationships of this idea to our somewhat continuous functions. In Chapter IV, the definition of a somewhat open function is presented and some elementary properties of this type of function are discussed. In Chapter V, properties that carry over under our weaker forms of continuity are discussed. Also, somewhat homeomorphisms are defined and discussed here.
Weaker forms of continuity
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Created on 1/1/1972
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Additional Information
- Publication
- Thesis
- Language: English
- Date: 1972
- Subjects
- Continuity
- Functions, Continuous