{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T22:31:01Z","timestamp":1771885861064,"version":"3.50.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,7,16]],"date-time":"2021-07-16T00:00:00Z","timestamp":1626393600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,7,16]],"date-time":"2021-07-16T00:00:00Z","timestamp":1626393600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Period Math Hung"],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1007\/s10998-021-00401-1","type":"journal-article","created":{"date-parts":[[2021,7,16]],"date-time":"2021-07-16T00:02:49Z","timestamp":1626393769000},"page":"221-234","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["On closure compatibility of ideal topological spaces and idempotency of the local closure function"],"prefix":"10.1007","volume":"84","author":[{"given":"Anika","family":"Njamcul","sequence":"first","affiliation":[]},{"given":"Aleksandar","family":"Pavlovi\u0107","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,16]]},"reference":[{"issue":"4","key":"401_CR1","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1023\/B:AMHU.0000049280.10577.4e","volume":"105","author":"A A\u00e7ikg\u00f6z","year":"2004","unstructured":"A. A\u00e7ikg\u00f6z, T. Noiri, c Y\u00fcksel, A decomposition of continuity in ideal topological spaces. Acta Math. Hungar. 105(4), 285\u2013289 (2004)","journal-title":"Acta Math. Hungar."},{"issue":"2","key":"401_CR2","first-page":"139","volume":"43","author":"A Al-Omari","year":"2013","unstructured":"A. Al-Omari, T. Noiri, Local closure functions in ideal topological spaces. Novi Sad J. Math. 43(2), 139\u2013149 (2013)","journal-title":"Novi Sad J. Math."},{"issue":"1","key":"401_CR3","first-page":"163","volume":"56","author":"M Caldas","year":"2010","unstructured":"M. Caldas, S. Jafari, R.M. Latif, Sobriety via $$\\theta $$-open sets. An. \u015etiin\u0163. Univ. Al. I. Cuza Ia\u015fi. Mat. (N.S.) 56(1), 163\u2013167 (2010)","journal-title":"An. \u015etiin\u0163. Univ. Al. I. Cuza Ia\u015fi. Mat. (N.S.)"},{"issue":"18","key":"401_CR4","doi-asserted-by":"publisher","first-page":"2371","DOI":"10.1016\/j.topol.2013.07.031","volume":"160","author":"F Cammaroto","year":"2013","unstructured":"F. Cammaroto, A. Catalioto, B.A. Pansera, B. Tsaban, On the cardinality of the $$\\theta $$-closed hull of sets. Topol. Appl. 160(18), 2371\u20132378 (2013)","journal-title":"Topol. Appl."},{"issue":"3","key":"401_CR5","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1007\/s10474-007-7136-9","volume":"120","author":"A Cs\u00e1sz\u00e1r","year":"2008","unstructured":"A. Cs\u00e1sz\u00e1r, $$\\delta $$- and $$\\theta $$-modifications of generalized topologies. Acta Math. Hungar. 120(3), 275\u2013279 (2008)","journal-title":"Acta Math. Hungar."},{"issue":"2","key":"401_CR6","doi-asserted-by":"publisher","first-page":"407","DOI":"10.2140\/pjm.1975.59.407","volume":"59","author":"RF Dickman Jr","year":"1975","unstructured":"R.F. Dickman Jr., J.R. Porter, $$\\theta $$-closed subsets of Hausdorff spaces. Pacific J. Math. 59(2), 407\u2013415 (1975)","journal-title":"Pacific J. Math."},{"key":"401_CR7","doi-asserted-by":"publisher","first-page":"471","DOI":"10.2307\/1968976","volume":"44","author":"S Fomin","year":"1943","unstructured":"S. Fomin, Extensions of topological spaces. Ann. Math. 44, 471\u2013480 (1943)","journal-title":"Ann. Math."},{"key":"401_CR8","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1007\/BF02020262","volume":"9","author":"G Freud","year":"1958","unstructured":"G. Freud, Ein Beitrag zu dem Satze von Cantor und Bendixson. Acta Math. Acad. Sci. Hungar. 9, 333\u2013336 (1958)","journal-title":"Acta Math. Acad. Sci. Hungar."},{"issue":"2","key":"401_CR9","first-page":"245","volume":"22","author":"MM Islam","year":"2018","unstructured":"M.M. Islam, S. Modak, Second approximation of local functions in ideal topological spaces. Acta Comment. Univ. Tartu. Math. 22(2), 245\u2013256 (2018)","journal-title":"Acta Comment. Univ. Tartu. Math."},{"issue":"2","key":"401_CR10","first-page":"147","volume":"4","author":"S Jafari","year":"2011","unstructured":"S. Jafari, N. Rajesh, Generalized closed sets with respect to an ideal. Eur. J. Pure Appl. Math. 4(2), 147\u2013151 (2011)","journal-title":"Eur. J. Pure Appl. Math."},{"issue":"72","key":"401_CR11","first-page":"439","volume":"4","author":"D Jankovi\u0107","year":"1980","unstructured":"D. Jankovi\u0107, On some separation axioms and $$\\theta $$-closure. Mat. Vesnik 4(72), 439\u2013449 (1980)","journal-title":"Mat. Vesnik"},{"issue":"4","key":"401_CR12","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1080\/00029890.1990.11995593","volume":"97","author":"D Jankovi\u0107","year":"1990","unstructured":"D. Jankovi\u0107, T.R. Hamlett, New topologies from old via ideals. Amer. Math. Monthly 97(4), 295\u2013310 (1990)","journal-title":"Amer. Math. Monthly"},{"issue":"1","key":"401_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0166-8641(90)90031-V","volume":"36","author":"E Khalimsky","year":"1990","unstructured":"E. Khalimsky, R. Kopperman, P.R. Meyer, Computer graphics and connected topologies on finite ordered sets. Topol. Appl. 36(1), 1\u201317 (1990)","journal-title":"Topol. Appl."},{"key":"401_CR14","unstructured":"K. Kuratowski, Topologie I (Warszawa, 1933)"},{"key":"401_CR15","unstructured":"K. Kuratowski, Topology. Vol. I. New edition, revised and augmented. Translated from the French by J. Jaworowski. Academic Press, New York-London; Pa\u0144stwowe Wydawnictwo Naukowe, Warsaw (1966)"},{"issue":"4","key":"401_CR16","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1007\/s10474-007-7066-6","volume":"119","author":"F Kuyucu","year":"2008","unstructured":"F. Kuyucu, T. Noiri, A.A. \u00d6zkurt, A note on $$w$$-$$I$$-continuous functions. Acta Math. Hungar. 119(4), 393\u2013400 (2008)","journal-title":"Acta Math. Hungar."},{"key":"401_CR17","doi-asserted-by":"crossref","unstructured":"R. Manoharan, P. Thangavelu, Some new sets and topologies in ideal topological spaces. Chinese Journal of Mathematics 2013 (2013), Article ID 973608","DOI":"10.1155\/2013\/973608"},{"key":"401_CR18","doi-asserted-by":"crossref","unstructured":"JC. Oxtoby, Measure and category, second\u00a0ed., vol.\u00a02 of Graduate Texts in Mathematics. Springer, New York (1980). A survey of the analogies between topological and measure spaces","DOI":"10.1007\/978-1-4684-9339-9"},{"issue":"14","key":"401_CR19","doi-asserted-by":"publisher","first-page":"3725","DOI":"10.2298\/FIL1614725P","volume":"30","author":"A Pavlovi\u0107","year":"2016","unstructured":"A. Pavlovi\u0107, Local function versus local closure function in ideal topological spaces. Filomat 30(14), 3725\u20133731 (2016)","journal-title":"Filomat"},{"issue":"1971","key":"401_CR20","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/S0001-8708(71)80004-X","volume":"7","author":"S Scheinberg","year":"1971","unstructured":"S. Scheinberg, Topologies which generate a complete measure algebra. Adv. Math. 7(1971), 231\u2013239 (1971)","journal-title":"Adv. Math."},{"key":"401_CR21","doi-asserted-by":"crossref","unstructured":"S. Todor\u010devi\u0107, Trees and linearly ordered sets. In Handbook of set-theoretic topology (1984), K.\u00a0Kunen and J.\u00a0E. Vaughan, Eds., North-Holland Publishing Co., Amsterdam, pp.\u00a0235\u2013293","DOI":"10.1016\/B978-0-444-86580-9.50009-4"},{"key":"401_CR22","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1007\/BF03048958","volume":"20","author":"R Vaidyanathaswamy","year":"1944","unstructured":"R. Vaidyanathaswamy, The localisation theory in set-topology. Proc. Indian Acad. Sci. Sect. A. 20, 51\u201361 (1944)","journal-title":"Proc. Indian Acad. Sci. Sect. A."},{"issue":"1","key":"401_CR23","first-page":"98","volume":"70","author":"NV Velichko","year":"1966","unstructured":"N.V. Velichko, The localisation theory in set-topology. Mat. Sb. 70(1), 98\u2013112 (1966)","journal-title":"Mat. Sb."}],"container-title":["Periodica Mathematica Hungarica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-021-00401-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10998-021-00401-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-021-00401-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,18]],"date-time":"2022-05-18T08:41:29Z","timestamp":1652863289000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10998-021-00401-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,16]]},"references-count":23,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["401"],"URL":"https:\/\/doi.org\/10.1007\/s10998-021-00401-1","relation":{},"ISSN":["0031-5303","1588-2829"],"issn-type":[{"value":"0031-5303","type":"print"},{"value":"1588-2829","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,16]]},"assertion":[{"value":"22 September 2020","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 July 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}