Beta1-paracompactness with respect to an Ideal

Authors

  • Abdo Mohammed Cahis Department of Mathematics, Faculty of Science and Arts, Nagran university, Saudi Arabia.

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i1.3352

Keywords:

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

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.

Author Biography

  • Abdo Mohammed Cahis, Department of Mathematics, Faculty of Science and Arts, Nagran university, Saudi Arabia.
    Department of Mathematics

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Published

2019-01-31

Issue

Section

Algebraic Topology

How to Cite

Beta1-paracompactness with respect to an Ideal. (2019). European Journal of Pure and Applied Mathematics, 12(1), 135-145. https://doi.org/10.29020/nybg.ejpam.v12i1.3352