This paper is an introduction to the study of the problem: what decomposition spaces of Eⁿ are homeomorphic to Eⁿ? An introductory section on the elementary properties of decompositions and decomposition spaces is followed by characterizations of the decomposition
spaces of E¹ and E² which are homeomorphic to E¹ and E² respectively. The characterization for E² follows Moore-Whyburn. We then give sufficient conditions for a decomposition space of Eⁿ to be Eⁿ, following Bing's recent work. No characterization is known for general Eⁿ . This paper reflects the status of the question as of, roughly, 1957. There has been essentially no progress since then. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/36930 |
| Date | January 1966 |
| Creators | Hutchings, John Edward |
| 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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