{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T02:13:11Z","timestamp":1773799991717,"version":"3.50.1"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2023,3]]},"abstract":"<jats:p> A collection of all soft topologies over a fixed universe forms a complete lattice. One might ask: what will be the structure of minimal or maximal topologies in this lattice concerning specific topological properties? We know that the soft discrete topology is maximal soft [Formula: see text]-spaces, for [Formula: see text], in terms of the given soft point theory. As a result, we find it interesting to study the construction of minimal soft [Formula: see text] topologies. We show that the minimal soft [Formula: see text] is a nested soft topology whose base is the complements of all soft point closures. The minimal soft [Formula: see text] is the cofinite soft topology. The minimal soft [Formula: see text] (respectively, [Formula: see text]) is a soft topology in which each soft open (respectively, soft regular) filter base has only one adherent soft point and is convergent. Finally, the minimal soft [Formula: see text] topologies are subclasses of soft compact topologies. <\/jats:p>","DOI":"10.1142\/s1793005722500466","type":"journal-article","created":{"date-parts":[[2022,1,26]],"date-time":"2022-01-26T05:50:42Z","timestamp":1643176242000},"page":"19-31","source":"Crossref","is-referenced-by-count":5,"title":["Minimal Soft Topologies"],"prefix":"10.1142","volume":"19","author":[{"given":"Zanyar A.","family":"Ameen","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq"}]},{"given":"Samer","family":"Al Ghour","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan"}]}],"member":"219","published-online":{"date-parts":[[2022,2,16]]},"reference":[{"key":"S1793005722500466BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/9789814261302_0021"},{"key":"S1793005722500466BIB002","doi-asserted-by":"crossref","first-page":"610","DOI":"10.1109\/21.229476","volume":"23","author":"Gau W. 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