Title: | On Kasaj-b-open Sets and Kasaj-regular-open Sets in Kasaj Topological Spaces |
Authors: | . Rachchh, Kashyap G Ghanchi, Sajeed I. Soneji, Asfak A. |
Keywords: | - Kasaj topological space Kasaj-b-open set Kasaj-regular-open set |
Issue Date: | 2020 |
Publisher: | Journal of Emerging Technologies and Innovative Research |
Citation: | Kashyap G. Rachchh, Sajeed I. Ghanchi, Asfak A. Soneji,On Kasaj-b-open Sets and Kasaj-regular-open Sets in Kasaj Topological SpacesJournal of Emerging Technologies and Innovative Research (JETIR) w JETIR December 2020, Volume 7, Issue 12 |
Abstract: | Abstract : Recently, We defined Kasaj-topological space and weak open sets namely Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta-open sets in Kasaj topological spaces and analyzed their basic properties. Also we defined new types of continuous functions namely Kasaj-continuous function, Kasaj-pre-continuous function, Kasaj-semi-continuous function, Kasaj-alpha-continuous function and Kasaj-beta-continuous function in Kasaj topological spaces. The purpose of this paper is to define new classes of sets called Kasaj-b-open(KS-b-open) sets, Kasaj-regular-open(KS-regular-open) sets and a new types of continuous functions namely Kasaj-b-continuous function in Kasaj topological spaces. We shall investigate their basic properties and also analyze relation among Kasaj-open sets, Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta- open sets, Kasaj-b-open sets and Kasaj-regular-open sets. Index Terms - Kasaj topological space, Kasaj-b-open set, Kasaj-regular-open set |
URI: | http://10.9.150.37:8080/dspace//handle/atmiyauni/2001 |
ISSN: | 2349-5162 |
Appears in Collections: | 01. Journal Articles |
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