• Hamant Kumar
• M. C. Sharma

The aim of the present paper is to introduce two new classes of separation axioms (namely partly-regular and softly-regular spaces) in topological spaces which are weaker than regularity and lie between regularity and weakly-regularity. The relationships among strongly rg-regularity, regularity, soft-regularity, partly-regularity, almost regularity and weakly regularity are investigated. Some properties of softly regular spaces in the forms of subspace, product spaces and quotient spaces are obtained. Moreover, we obtained some characterizations of softly regular spaces with π–normality and quasi-normality.

pi-open and pi-closed sets; softly regular, partly-regular, almost-regular, weakly-regular, semi-regular, pi-normal, quasi-normal and softly-normal spaces

"SOFTLY-REGULAR SPACES IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 11, page no.183-190, November-2018, Available :http://www.jetir.org/papers/JETIR1811629.pdf

"SOFTLY-REGULAR SPACES IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 11, page no. pp183-190, November-2018, Available at : http://www.jetir.org/papers/JETIR1811629.pdf