Volume 33, No. 4, pp. 771-786, October 2007
Abstract. In the present paper, we define a kind of topology obtained as an associated structure on a topological space induced by a grill on . Such a topology is studied in certain detail as to some of its basic properties. Then a sort of suitability condition of a grill with the underlying topology of the space is formulated. After ample analysis and characterizations of such a suitability condition, the introduced topology is studied in conjunction with the given one (under assumption of the said condition) with regard to some topological properties.
Received July 26, 2006; revised January 29, 2007.
AMS Subject Classification. 54A10, 54A99.
Key words. grill, topology suitable for grill, -grill.
The author acknowledges the financial support from C.S.I.R.,
New Delhi, India.