Title: | On kasaj-b-open sets and kasaj-regular-open sets in kasaj topological spaces |
Authors: | Rachchh, Kashyap G. Soneji, Asfak A. Ghanchi, Sajeed I. |
Keywords: | Kasaj topological space Kasaj-b-open set Kasaj-regular-open set |
Issue Date: | Dec-2020 |
Publisher: | Journal of Emerging Technologies and Innovative Research |
Citation: | Rachchh K., Soneji A.,Ghanchi S.(2020).On kasaj generalized closed sets in kasaj topological spaces.Journal of Emerging Technologies and Innovative Research,Volume 7(12),646-651.https://www.jetir.org/ |
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. |
Description: | The first author gratefully acknowledges a Junior Research Fellowship from University Grant Commission (UGC), India. |
URI: | http://10.9.150.37:8080/dspace//handle/atmiyauni/787 |
ISSN: | 2349-5162 |
Appears in Collections: | 01. Journal Articles |
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