{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,27]],"date-time":"2025-11-27T20:48:29Z","timestamp":1764276509823,"version":"3.41.2"},"reference-count":14,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2009,11,5]],"date-time":"2009-11-05T00:00:00Z","timestamp":1257379200000},"content-version":"vor","delay-in-days":308,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100003093","name":"Ministry of Higher Education, Malaysia","doi-asserted-by":"publisher","award":["UKM-ST-06-FRGS0008-2008"],"award-info":[{"award-number":["UKM-ST-06-FRGS0008-2008"]}],"id":[{"id":"10.13039\/501100003093","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>A topological space (<jats:italic>X<\/jats:italic>, <jats:italic>\u03c4<\/jats:italic>) is said to be strongly compact if every preopen cover of (<jats:italic>X<\/jats:italic>, <jats:italic>\u03c4<\/jats:italic>) admits a finite subcover. In this paper, we introduce a new class of sets called <jats:italic>\ud835\udca9<\/jats:italic>\u2010preopen sets which is weaker than both open sets and <jats:italic>\ud835\udca9<\/jats:italic>\u2010open sets. Where a subset <jats:italic>A<\/jats:italic>\n is said to be <jats:italic>\ud835\udca9<\/jats:italic>\u2010preopen if for each <jats:italic>x<\/jats:italic> \u2208 <jats:italic>A<\/jats:italic>\n there exists a preopen set <jats:italic>U<\/jats:italic><jats:sub><jats:italic>x<\/jats:italic><\/jats:sub>\n containing <jats:italic>x<\/jats:italic> such that <jats:italic>U<\/jats:italic><jats:sub><jats:italic>x<\/jats:italic><\/jats:sub> \u2212 <jats:italic>A<\/jats:italic> is a finite\nset. We investigate some properties of the sets. Moreover, we obtain new characterizations and preserving theorems of strongly compact spaces.<\/jats:p>","DOI":"10.1155\/2009\/573038","type":"journal-article","created":{"date-parts":[[2009,12,20]],"date-time":"2009-12-20T11:55:07Z","timestamp":1261310107000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Characterizations of Strongly Compact Spaces"],"prefix":"10.1155","volume":"2009","author":[{"given":"Ahmad","family":"Al-Omari","sequence":"first","affiliation":[]},{"given":"Takashi","family":"Noiri","sequence":"additional","affiliation":[]},{"given":"Mohd. Salmi Md.","family":"Noorani","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2009,11,5]]},"reference":[{"key":"e_1_2_6_1_2","first-page":"23","article-title":"A note on strong compactness and S-closedness","volume":"6","author":"Atia R. 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