NEW VERSION OF SOFT NANO COMPACTNESS AND SOFT NANO CONNECTEDNESS
P. G. Patil and S. S. Benakanawari
Purpose of this paper is to give insight to the soft nano compactness which is the generalization of property of soft nano closedness. Precisely, soft nano g$\omega$-compactness is introduced and the conditions are established for perfectly soft nano g$\omega$-continuous onto functions, strongly soft nano g$\omega$-continuous onto functions and soft nano g$\omega$-irresolute functions to be soft nano g$\omega$-compactness. Furthermore, we briefly describe the characterizations of soft nano g$\omega$-connectedness. Also, proved the fact that soft nano g$\omega$-connectedness is under soft nano g$\omega$-irresolute surjections.
Keywords: soft nano gω-continuous functions, soft nano gω-irresolute functions, soft nano compactness, soft nano gω-compactness, soft nano connectedness, soft nano gω-connectedness.