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

Vol. 12 No. 1: (January 2019)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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