Upper semicontinuous decompositions of E('3) into subarcs of Bing's sling and points
نام عام مواد
[Thesis]
نام نخستين پديدآور
M. S. R. Chowdhury
وضعیت نشر و پخش و غیره
نام ناشر، پخش کننده و غيره
King Fahd University of Petroleum and Minerals (Saudi Arabia)
تاریخ نشرو بخش و غیره
1988
مشخصات ظاهری
نام خاص و کميت اثر
152
یادداشتهای مربوط به پایان نامه ها
جزئيات پايان نامه و نوع درجه آن
M.S.
کسي که مدرک را اعطا کرده
King Fahd University of Petroleum and Minerals (Saudi Arabia)
امتياز متن
1988
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Pure sciences
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )