Extension of topological derived set operator and topological closure set operator via a class of sets to construct generalized topologies
Publish place: Caspian Journal of Mathematical Sciences، Vol: 11، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
View: 125
This Paper With 14 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CJMS-11-1_003
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
In this paper we intend to extract some types of generalized topologies from a topological space. To do this, we first generalize the derived set operator and the closure operator of a topological space using a class of subsets of the space, this collection is called the hereditary family since it is closed under the operation subset. The generalized closure operator induces a structure that is our desired generalized topology.
Keywords:
Generalized topology , Generalized topological space , Generalized derived set operator , Generalized closure operator. Hereditary family
Authors
Amin Talabeigi
Department of Mathematics, Payame Noor University, P.O. Box, ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.