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Uppeer semicontinuous decompositions E3 into subarc's of Bing's sling and points.

Chowdhury, Mohammad Showkat Rahim (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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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)
Date:May 1988
Date Type:Completion
Subjects:Math
Divisions:College Of Sciences > Mathematical Science Dept
Creators:Chowdhury, Mohammad Showkat Rahim
Committee Advisor:Schurle, Arlo W.
Committee Members:Ismail, M. A. and Al-Shakhs, Adnan
ID Code:9829
Deposited By:KFUPM ePrints Admin
Deposited On:22 Jun 2008 16:50
Last Modified:25 Apr 2011 09:30

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