i-Semi-Inter-Open Sets in Topological Spaces
Year: 2026
Type: article
Abstract: This work introduces a novel class of sets are called -semi-inter open sets and semi-inter open sets in topological spaces. A number of mathematical arguments have been used to thoroughly examine some of these sets' characteristics and their connections to other kinds of sets, including, for example we proved that in any topological space : Each is semi inter open set and semi-inter open set, each set is semi-inter open set and semi inter open set, each semi inter open set is -open set and semi inter open set, each open set is semi inter open set and semi inter open set, however, generally speaking the converses are not necessary to be valid. Also, we defined the topologically extended and non-topologically extended property for -semi-inter sets, and we show that the family of -semi inter open sets is not necessarily a topological space, with some characterizations as -semi-inter limit points, -semi-inter boundary of a set.
Source: Mağallaẗ al-tarbiyaẗ wa-al-ʻilm
Authors: Balsam Jarjees, Sabih Askandar
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $150
OpenAlex ID: W7147000169
FWCI:
Cites:
Cited by:
Related to: