NEW SEPARATION AXIOMS VIA *GENERALIZED PRE OPEN SETS

Some separation axioms via modified θ-open sets

Higher Separation Axioms via Semi*-open sets

The purpose of this paper is to introduce new separation axioms semi*-regular, semi*-normal, s*regular, s**-normal using semi*-open sets and investigate their properties. We also study the relationships among themselves and with known axioms regular, normal, semi-regular and semi-normal. Mathematics Subject Classification 2010: 54D10, 54D15

some separation axioms via modified θ-open sets

On soft separation axioms via β-open soft sets

The main purpose of our paper, is to investigate more properties of the soft β-separation axioms given in [8]. We show that, the properties of soft β-Ti-spaces (i = 1, 2) are soft topological properties under the bijection and irresolute open soft mapping. Also, the property of being soft βregular and soft β-normal are soft topological properties under bijection, irresolute soft and irresolute ...

On bD-Sets and Associated Separation Axioms