Soft version of compact and lindelöf spaces using soft somewhere dense sets

Tareq M. Al-Shami, abdelwaheb mhemdi, Amani A. Rawshdeh, Heyam H. Al-Jarrah

Research output: Contribution to journalJournal articlepeer-review

1 Scopus citations

Abstract

Herein, we applied soft somewhere dense sets to initiate six sorts of soft spaces called almost (nearly, mildly) soft S D-compact and almost (nearly, mildly) soft S D-Lindelöf spaces. We study the master properties of these spaces and illustrate the relations between them with the help of examples. In addition, we clarify that the six soft spaces are equivalent under a soft S D-partition. Moreover, the relationships between the initiated spaces and enriched soft topological spaces and other well-known spaces such as soft S-connected are indicated.

Original languageEnglish
Pages (from-to)8064-8077
Number of pages14
JournalAIMS Mathematics
Volume6
Issue number8
DOIs
StatePublished - 2021

Keywords

  • Almost soft S D-compact
  • Almost soft S D-Lindelöf
  • Mildly soft S D-compact
  • Mildly soft S D-Lindelöf
  • Nearly soft S D-compact
  • Nearly soft S D-Lindelöf
  • Soft cs-dense set
  • Soft somewhere dense set

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