Properties of HC -compactness in hereditary m-spaces

Authors

  • Ahmad Al-Omari Al al-Bayt University
  • Takashi Noiri

DOI:

https://doi.org/10.1478/AAPP.1002A7

Abstract

Let (X, m, H) be a hereditary m-space. A subset A of X is said to be HC -compact relative to X if for every cover U of A by m-open sets of X, there exists a finite subset U0 of U such that A - ∪ {mCl(Uα) : α ∈ U0} ∈ H. We obtain several properties of these sets. And also, we define and investigate nearly HC -compact relative to X.

Downloads

Published

2022-11-07

Issue

Vol. 100 No. 2 (2022)

Section

Articles

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).