The induced contractive maps on the covering spaces
عنوان مقاله: The induced contractive maps on the covering spaces
شناسه ملی مقاله: JR_CJMS-10-1_010
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_CJMS-10-1_010
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Zahra Shabani Siahkalde - Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Tayyebe Nasri - Department of Pure Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
خلاصه مقاله:
Zahra Shabani Siahkalde - Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Tayyebe Nasri - Department of Pure Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
Let (\tilde{X},p) be the universal covering space of a compact metrizable space X , which is compact and locally path connected. In this paper, we show that there exist metrics d and d' for X and \tilde{X} , respectively, such that any contractive map f:X\to X induces a contractive map on \tilde{X}. As an application, it is obtained that every iterated function system(IFS) on the space X with attractor K , induces an IFS on \tilde{ X} with attractor \tilde{K}, such that p(\tilde{K})=K.
کلمات کلیدی: Covering spaces, Iterated function systems, Contractive maps
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1251329/