Abstract

In this paper, concepts of various forms of dense sets and nowhere dense sets in generalized closure spaces have been introduced. The interrelationship among the various notions have been studied in detail. Also, the existence of an ideal in generalized closure spaces has been settled.

Keywords: Generalized closure spaces, isotonic spaces, dense sets, nowhere dense sets, ideals.

MSC: 54A05

Pages:  181$-$188     

Volume  59 ,  Issue  4 ,  2007