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 language | English |
|---|---|
| Pages (from-to) | 8064-8077 |
| Number of pages | 14 |
| Journal | AIMS Mathematics |
| Volume | 6 |
| Issue number | 8 |
| DOIs | |
| State | Published - 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