Beta1-paracompactness with respect to an Ideal

Abdo Mohammed Cahis

Abstract

The notion of 1-paracompactness in topological spaces is introduced and studied in [1]. In this paper, we introduce and investigate the notion of \beta_1-paracompact spaces with respect to an ideal I which is a generalization of the notion of  \beta_1-paracompact spaces. We study characterizations, subsets and subspaces of 1I-paracompact spaces. Also, we investigate the invariants of \beta_I-paracompact spaces by functions.

Keywords

Ideal, \beta-open set, beta_1-paracompact, \beta_1-paracompact modulo I, locally finite collection, \beta-irresolute,\beta -continuous, strongly \beta-continuous.

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