The soft topology of soft \(\omega ^{\ast }\)-open sets and soft almost Lindelofness
Volume 30, Issue 3, pp 281--289
http://dx.doi.org/10.22436/jmcs.030.03.07
Publication Date: February 02, 2023
Submission Date: November 10, 2022
Revision Date: November 27, 2022
Accteptance Date: December 30, 2022
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
MSC
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