Manuscript Title:

𝓗 βˆ’LOCALLY CLOSED SETS IN GENERALIZED TOPOLOGICAL SPACE

Author:

P. ELAVARASAN, A.P.PONRAJ

DOI Number:

DOI:10.17605/OSF.IO/W7B5G

Published : 2022-02-28

About the author(s)

1. P. ELAVARASAN - Research Scholar, Meenakshi Academy of Higher Education and Research, Chennai, Tamilnadu, India.
2. A.P.PONRAJ - Research Supervisor.

Full Text : PDF

Abstract

The aim of this paper is extend the study of 𝓗 −locally closed sets are defined in a generalized topological space with a hereditary class, characterize this sets and discussits properties and we discuss the properties of 𝓗𝐴 −sets, 𝓗𝐡 −sets, 𝓗𝐢 −sets and 𝑓𝓗 −sets.It is established that 𝓗𝐴 −sets are 𝓗 −locally closed set and 𝓗𝐡 − sets are 𝓗𝐢 −sets in generalized topological space.


Keywords

Generalized topological space, hereditary class, πœ… βˆ—βˆ’dense set, π‘ π‘’π‘šπ‘–βˆ— βˆ’ 𝓗 βˆ’open set. 2010 Mathematics subject classification: 54A05, 54A10.