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

الموضوعات

علوم بحتة وطبيعية

الملخص

-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.

روابط وملفات

التعريف والنوع

رقم الوثيقة

0f660472-02ec-49a0-aa22-f48158b7f7b2

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

944471_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":" Arlo W Schurle ","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"محمد شوكت رحيم","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

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

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

Arlo W Schurle

الإعداد

محمد شوكت رحيم

الاقتباسات الببليوغرافية