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" Toeplitz and circulant matrices : "
Robert M. Gray.
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Latin Dissertation
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| Language of Document
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English
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| Record Number
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1112350
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| Doc. No
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TLpq230811524
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| Main Entry
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M. S. R. Chowdhury
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| Title & Author
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Upper semicontinuous decompositions of E('3) into subarcs of Bing's sling and points\ M. S. R. Chowdhury
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| College
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King Fahd University of Petroleum and Minerals (Saudi Arabia)
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| Date
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1988
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| student score
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1988
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| Degree
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M.S.
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| Page No
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152
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| Abstract
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Bing's sling is a simple closed curve in Euclidean 3-space E for which there is no homeomorphism h from E 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 neighborhood of A contains a 3-cell which contains A in its interior. We study upper semicontinuous decompositions of Euclidean 3-space E into points and pairwise disjoint subarcs of Bing's sling. We prove that such decompositions always yield decompositions spaces that are homeomorphic to E. In chapter 1 we review some basic concepts and results from decomposition space theory needed in the following chapters. Chapter 2 studies the construction of Bing's sling and chapter 3 studies the special type of decomposition space of E mentioned above.
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| Subject
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Mathematics
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Pure sciences
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