# The soft topology of soft $\omega ^{\ast }$-open sets and soft almost Lindelofness

Volume 30, Issue 3, pp 281--289
Publication Date: February 02, 2023 Submission Date: November 10, 2022 Revision Date: November 27, 2022 Accteptance Date: December 30, 2022
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### Authors

S. Al Ghour - Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan .

### Abstract

In this paper, We use the soft closure operator to introduce soft $\omega ^{\ast }$-open sets as a new class of soft sets. We prove that this class of soft sets forms a soft topology that lies strictly between the soft topology of soft $\theta$-open sets and the soft topology of soft $\omega$-open sets. Also, we show that the soft topology of soft $% \omega ^{\ast }$-open sets contain the soft co-countable topology and is independent of the topology of soft open sets. Furthermore, several results regarding soft almost Lindelofness are given. In addition to these, we investigate the correspondences between the novel notions in soft topology and their general topological analogs.

### Share and Cite

##### ISRP Style

S. Al Ghour, The soft topology of soft $\omega ^{\ast }$-open sets and soft almost Lindelofness, Journal of Mathematics and Computer Science, 30 (2023), no. 3, 281--289

##### AMA Style

Ghour S. Al, The soft topology of soft $\omega ^{\ast }$-open sets and soft almost Lindelofness. J Math Comput SCI-JM. (2023); 30(3):281--289

##### Chicago/Turabian Style

Ghour, S. Al. "The soft topology of soft $\omega ^{\ast }$-open sets and soft almost Lindelofness." Journal of Mathematics and Computer Science, 30, no. 3 (2023): 281--289

### Keywords

• Soft $\omega$-open sets
• soft $\theta$-open sets
• soft regularity
• soft hyperconnectedness
• soft almost Lindelofness

•  54C08
•  54C10
•  54B10