Given a topological space (X,Ʊ), let H(X,Ʊ), be the class of all homeomorphisms of
(XƱ ) onto itself. This paper is devoted to study the following problem posed by Everett and Ulam [1], [11] in 1948. When and how a new topology Ʋ can be constructed on X such that H(X,Ʊ) = H(X,Ʋ), i.e., these two topological spaces have exactly the same class of homeomorphisms.
Some of the results obtained are original, and other results agree essentially with the work done previously by Yu-Lee Lee [5], [6], [7], [8], [9]. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/35772 |
| Date | January 1969 |
| Creators | Shiau, Chyi |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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