Upper semicontinuous decompositions of E('3) into subarcs of Bing's sling and points

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" Upper semicontinuous decompositions of E('3) into subarcs of Bing's sling and points "
M. S. R. Chowdhury

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1112350
Doc. No	:	TLpq230811524
Main Entry	:	M. S. R. Chowdhury
Title & Author	:	Upper semicontinuous decompositions of E('3) into subarcs of Bing's sling and points\ M. S. R. Chowdhury
College	:	King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date	:	1988
student score	:	1988
Degree	:	M.S.
Page No	:	152
Abstract	:	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.
Subject	:	Mathematics
	:	Pure sciences