State University of New York at Binghamton: United States -- New York
تاریخ نشرو بخش و غیره
: 2008
مشخصات ظاهری
نام خاص و کميت اثر
78 pages
یادداشتهای مربوط به پایان نامه ها
جزئيات پايان نامه و نوع درجه آن
Ph.D.
کسي که مدرک را اعطا کرده
, State University of New York at Binghamton: United States -- New York
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This dissertation is a study of globalization, or local to global, theorems in topology with some emphasis on fibrations. We introduced the concept of NG-hereditary, to strengthen a theorem of E. Michael (1954) and obtain several applications including a new proof for a theorem of A. Dold for mappings having the Section Extension Property and metrizability globalization theorem. Also, a characterization of paracompactness is given. It is a sufficient condition for many globalization results and we show that it is necessary for Dold's theorem. Inversible fibrations were defined by E. Dyer and S. Eilenberg in 1988. They ask a globalization problem " Is a locally trivial map over a contactible space trivial? " We provide a partial answer to this question. Also we define the inversible Hurewicz Fibration and relate these to those of Dyer and Eilenberg.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
اصطلاحهای موضوعی کنترل نشده
اصطلاح موضوعی
Globalization theorems
اصطلاح موضوعی
Topology
اصطلاح موضوعی
Fibrations
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )