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Decomposition spaces of En Hutchings, John Edward
Abstract
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.
Item Metadata
| Title |
Decomposition spaces of En
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1966
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| Description |
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.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-08-26
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| Provider |
Vancouver : University of British Columbia Library
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| 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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| DOI |
10.14288/1.0080560
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| Degree | |
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| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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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.