New Closed Sets and Maps via Ideals

Ramandeep Kaur, Asha Gupta

Abstract


The purpose of this paper is to study a new class of closed sets,
called generalized semi-closed sets with respect to an ideal, which is an extension of generalized semi closed sets. Then, by using these sets, we introduce the concept of Igs-compact spaces along with some new classes of maps via ideals and obtain analogues of some known results for compact spaces, continuous maps and closed maps in general topology.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|