IJPAM: Volume 60, No. 2 (2010)

ON CONVERGENCE IN GENERALIZED TOPOLOGY

Ratna Dev Sarma
Department of Mathematics
Rajdhani College
University of Delhi
Raja Garden, Delhi, 110025, INDIA
e-mail: ratna_sarma@yahoo.com


Abstract.Generalized nets and generalized filters are introduced. It is found that the generalized convergence classes and the generalized topologies on a set $X$ exhibit the same kind of relationship as their counterparts do in general topology.

Received: February 26, 2010

AMS Subject Classification: 54A05, 54A15

Key Words and Phrases: generalized topology, generalized open set, net, filter, convergence class

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 2