عنوان

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

TLpq230811524

انگلیسی

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

[Thesis]

M. S. R. Chowdhury

King Fahd University of Petroleum and Minerals (Saudi Arabia)

1988

152

M.S.

King Fahd University of Petroleum and Minerals (Saudi Arabia)

1988

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.

Mathematics

Pure sciences

M. S. R. Chowdhury

p

[Thesis]

276903

a

Y