On soft Lindelof spaces in bitopological spaces via soft ℵ-open sets

Author(s):  
Fawzi Noori Nassar ◽  
Mimoon Ismael
Keyword(s):  
1999 ◽  
Vol 106 (2) ◽  
pp. 255-274
Author(s):  
A. Kandil ◽  
A.S. Abd-Allah ◽  
A.A. Nouh
Keyword(s):  

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1781
Author(s):  
Samer Al Ghour

In this paper, we first define soft u-open sets and soft s-open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p-open sets lies strictly between these classes, and we give several sufficient conditions for the equivalence between soft p-open sets and each of the soft u-open sets and soft s-open sets, respectively. In addition to these, we introduce the soft u-ω-open, soft p-ω-open, and soft s-ω-open sets as three new classes of soft sets in soft bitopological spaces, which contain soft u-open sets, soft p-open sets, and soft s-open sets, respectively. Via soft u-open sets, we define two notions of Lindelöfeness in SBTSs. We discuss the relationship between these two notions, and we characterize them via other types of soft sets. We define several types of soft local countability in soft bitopological spaces. We discuss relationships between them, and via some of them, we give two results related to the discrete soft topological space. According to our new concepts, the study deals with the correspondence between soft bitopological spaces and their generated bitopological spaces.


2015 ◽  
Vol 23 (3) ◽  
pp. 527-534 ◽  
Author(s):  
H.M. Abu Donia ◽  
M.A. Abd Allah ◽  
A.S. Nawar

2008 ◽  
Vol 76 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Achim Jung ◽  
M. Andrew Moshier
Keyword(s):  

2011 ◽  
Vol 29 (2) ◽  
Author(s):  
N. Rajesh ◽  
M. Caldas ◽  
S. Jafari
Keyword(s):  

2016 ◽  
Vol 24 (2) ◽  
pp. 286-294
Author(s):  
A.A. Allam ◽  
A.M. Zahran ◽  
A.K. Mousa ◽  
H.M. Binshahnah
Keyword(s):  

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