(1988) Uppeer semicontinuous decompositions E3 into subarc's of Bing's sling and points. Masters thesis, King Fahd University of Petroleum and Minerals.
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Arabic Abstract
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English Abstract
Bing's sling is a simple closed curve in Euclidean 3-space E3 for which there is no homeomorphism h from E3 onto itself taking it to a circle. We say that Bing's sling is a wild simple closed curve. Any subarc A of Bing's sling is cellular that is, each neighbourhood of A contains a 3-cell which contains A in its interior. We study upper semicontinuous decompositions of euclidean 3-space E3 into points and pairwise disjoint subarcs of bing's sling. We prove that such decompositions always yields decomposition spaces that are homomorphic to E3. Chapter 1 deals with some basic concepts and results from decomposition space theory needed in subsequent chapters. Chapter 2 deals with the construction of Bing's sling and chapter 3 is devoted to the study of the special type of decomposition space of E³.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Math |
| Department: | College of Computing and Mathematics > Mathematics |
| Committee Advisor: | Schurle, Arlo W. |
| Committee Members: | Ismail, M. A. and Al-Shakhs, Adnan |
| Depositing User: | Mr. Admin Admin |
| Date Deposited: | 22 Jun 2008 13:50 |
| Last Modified: | 01 Nov 2019 13:51 |
| URI: | http://eprints.kfupm.edu.sa/id/eprint/9829 |