Open AccessBeta1-paracompactness with respect to an Ideal
Author(s) -
Abdo Mohammed Cahis
Publication year - 2019
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v12i1.3352
Subject(s) - paracompact space , mathematics , ideal (ethics) , linear subspace , generalization , pure mathematics , topological space , discrete mathematics , mathematical analysis , epistemology , hausdorff space , philosophy
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.