Soft Pre g* Connected Sets in Soft Topological Spaces
S. Kalaiselvi
*
PG and Research Department of Mathematics, Rani Anna Government College for Women, Tirunelveli – 627008, Tamil Nadu (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli - 627012, Tamil Nadu, India).
M. Anitha
PG and Research Department of Mathematics, Rani Anna Government College for Women, Tirunelveli – 627008, Tamil Nadu (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli - 627012, Tamil Nadu, India).
*Author to whom correspondence should be addressed.
Abstract
Aims: This paper introduces and investigates the concept of soft pre g*-connected sets in soft topological spaces. Using soft pre g*-open and soft pre g*-closed sets, we establish criteria for soft pre g*-separation and soft pre g*-disconnectedness. Illustrative examples are provided to demonstrate key properties. We conclude that every soft pre g*-connected space is soft connected, and that the empty and singleton soft sets are always soft pre g*-connected.
Keywords: Soft topology, soft pre g*open sets, soft pre g* closed sets, soft pre g*separated sets, soft pre g* disconnected space and soft pre g*connected sets