Applications of some modified open sets in r-neighbourhood spaces with ideals
S. Tharmar, Akshaya Ramesh Nagarajan, E. Rajesh, T. Thanigasalam, Senthil Kumar R · E3S Web of Conferences · 2023
The purpose of this paper is to introduce r-a-open sets, r-semi open sets and r-pre open sets in ideal r-neighbourhood space. We also discuss their properties, characterizations and relations with existing notions with suitable examples. Then we develop this paper towards rlimit points and r-interior points in ideal r-neighbourhood space and obtain nice results. 2010 Mathematics Subject Classification. Primary 03E99; Secondary 54A05, 54A10.