Geodesic
Soft expandable spaces
Filomat, Tome 37 (2023) no. 9, p. 2845

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DOI

In this study, we first introduce a new class of spaces, namely soft expandable spaces, which is a generalization of soft paracompact and countably soft compact spaces. Some properties of these spaces that are discussed in this paper the soft expandable space is equivalent to every A σ-soft cover has soft LF soft open refinement. Also, we discuss under what conditions that countably soft expandable space is soft paracompact. With the help of interesting examples, we elucidate there is no relationship between soft topology and its parametric topologies with respect to possession the property of being a soft expandable space. In this regards, we discuss the role of extended soft topology to inherited this property to classical topology. Second, we define the concept of s-expandable spaces which is stronger than soft expandable spaces. We give some characterizations of this concept, and investigate some equivalent concepts to s-expandable spaces. In the end, we study the behaviours of soft s-expandable spaces under some types of soft mappings.
DOI : 10.2298/FIL2309845R
Classification : 54A40, 06D72, 54E05
Keywords: Soft set, soft topology, soft locally finite, soft s-locally finite, soft expandable, soft s-expandable 
Amani A Rawshdeh; Heyam H Al-Jarrah; Tareq M Al-Shami. Soft expandable spaces. Filomat, Tome 37 (2023) no. 9, p. 2845 . doi: 10.2298/FIL2309845R
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     title = {Soft expandable spaces},
     journal = {Filomat},
     pages = {2845 },
     year = {2023},
     volume = {37},
     number = {9},
     doi = {10.2298/FIL2309845R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2309845R/}
}
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