Herein, we applied soft somewhere dense sets to initiate six sorts of soft spaces called almost (nearly, mildly) soft $ SD $-compact and almost (nearly, mildly) soft $ SD $-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 $ SD $-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.
Citation: Tareq M. Al-shami, Abdelwaheb Mhemdi, Amani A. Rawshdeh, Heyam H. Al-jarrah. Soft version of compact and Lindelöf spaces using soft somewhere dense sets[J]. AIMS Mathematics, 2021, 6(8): 8064-8077. doi: 10.3934/math.2021468
Herein, we applied soft somewhere dense sets to initiate six sorts of soft spaces called almost (nearly, mildly) soft $ SD $-compact and almost (nearly, mildly) soft $ SD $-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 $ SD $-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.
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Tareq M. Al-shami, Abdelwaheb Mhemdi, Amani A. Rawshdeh, Heyam H. Al-jarrah. Soft version of compact and Lindelöf spaces using soft somewhere dense sets[J]. AIMS Mathematics, 2021, 6(8): 8064-8077. doi: 10.3934/math.2021468
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