SOFT ß-LOCALLY CLOSED SPACES IN SOFT TOPOLOGICAL SPACES
S. S. BENCHALLI
Department of Mathematics, Karnatak University, Dharwad-580 003, Karnataka, India
P. G. PATIL *
Department of Mathematics, Karnatak University, Dharwad-580 003, Karnataka, India
ABEDA S. DODAMANI
Department of Mathematics, Karnatak University, Dharwad-580 003, Karnataka, India
*Author to whom correspondence should be addressed.
Abstract
The soft set theory is a new mathematical tool for dealing with uncertainties that are free from diculties that have troubled the usual theoretical approaches. In this paper, we continue investigating the properties of soft ß-open and soft ß-closed sets interms of soft ß-locally closed, soft ß*- locally closed, soft ß**-locally closed sets, soft ß-lc continuous functions and soft ß-lc irresolute functions. Also, their properties are studied in detail with suitable examples, which will strengthen the foundations of the theory of soft topological spaces.
Keywords: Soft sets, soft topological spaces, soft ß-locally closed set, soft ß-lc continuous, soft ß-lc irresolute