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.
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)|
|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|
|Deposited By:||KFUPM ePrints Admin|
|Deposited On:||22 Jun 2008 16:50|
|Last Modified:||25 Apr 2011 09:30|
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