Geodesic
Novel types of soft compact and connected spaces inspired by soft Q-sets
Filomat, Tome 37 (2023) no. 28, p. 9617

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DOI

In this work, we make use of soft Q-sets to introduce the concepts of soft Q-compact, soft QLindelöf and soft Q-connected spaces. We explore the essential properties of these concepts and elucidate the relationships between them with the assist of examples and counterexamples. We also give each one of these concepts a complete description and investigate how they behave under specific kinds of soft mappings. Moreover, we demonstrate the unique characterizations of these concepts which are not satisfied for their counterpart notions existing in the published literature; for example, we prove that every soft Qsubset of soft Q-compact and soft Q-Lindelöf spaces is respectively soft Q-compact and soft Q-Lindelöf as well as we discover the conditions under which the concepts of soft connected and soft Q-connected spaces are equivalent. The role of extended and full soft topologies to obtain some relationships between these concepts and their counterparts via parametric topologies is also discussed.
DOI : 10.2298/FIL2328617M
Classification : 54A40, 03E72, 54D05, 54D20, 54D30
Keywords: Soft Q-set, extended soft topology, soft Q-compact, soft Q-Lindelöf, soft Q-connected 
Abdelwaheb Mhemdi. Novel types of soft compact and connected spaces inspired by soft Q-sets. Filomat, Tome 37 (2023) no. 28, p. 9617 . doi: 10.2298/FIL2328617M
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     author = {Abdelwaheb Mhemdi},
     title = {Novel types of soft compact and connected spaces inspired by soft {Q-sets}},
     journal = {Filomat},
     pages = {9617 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328617M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328617M/}
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