SUPRA SOFT SEPARATION AXIOMS AND SUPRA IRRESOLUTENESS BASED ON SUPRA B-SOFT SETS

Year 2016, Volume: 29 Issue: 4, 845 - 854, 19.12.2016

Alaa Mohamed Abd El-latif , Rodyna Ahmed Hosny

Abstract

This paper introduces supra soft b-separation axioms based on the supra b-
open soft sets which are more general than supra open soft sets. We investigate the relationships between these supra soft separation axioms. Furthermore, with the help of examples it is established that the converse does not hold. We show that, a supra soft topological space (X; t;E) is supra soft b-T1-space, if xE is supra b-closed soft set in for each x 2 X. Also, we prove that xE is supra b-closed soft set for each x  belonds to  X, if (X; t;E) is supra soft T3-space.
For each i = 0; 1; 2; 3; 4, not every supra soft b-open soft subspace of supra soft b-Ti-space is supra soft b-Ti.

Keywords

Soft sets, Soft topological spaces, Supra soft topological spaces, Supra b-open soft sets, Supra soft b-Ti spaces (i = 1, 2; 3; 4), Supra soft continuity, Supra b-irresolute open soft function.

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