IJPAM: Volume 23, No. 3 (2005)

NOTES ON THE CONTINUITY IN
IDEAL TOPOLOGICAL SPACES

Ali A. Özkurt
Department of Mathematics
Çukurova University
Adana, 01330, TURKEY
e-mail: aozkurt@mail.cukurova.edu.tr


Abstract.In this paper it is investigated relationships between group action and $w-I-$continuity and $w^{*}-I-$continuity in ideal topological spaces. I try to find an answer to the following question ``When $w-I-$continuity implies continuity?". Similarly ``when $w^{*}-I-$continuity implies continuity?". Also it is given some results for specific ideals.

Received: June 27, 2005

AMS Subject Classification: 54C10, 57S25

Key Words and Phrases: weak-I-continuous, weak$^{*}$-I-continuous, group action

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 23
Issue: 3