{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T02:49:51Z","timestamp":1771296591837,"version":"3.50.1"},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,11,1]],"date-time":"2013-11-01T00:00:00Z","timestamp":1383264000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2015,6]]},"DOI":"10.1007\/s10485-013-9337-4","type":"journal-article","created":{"date-parts":[[2013,10,31]],"date-time":"2013-10-31T11:22:43Z","timestamp":1383218563000},"page":"311-322","source":"Crossref","is-referenced-by-count":10,"title":["Interior Operators, Open Morphisms and the Preservation Property"],"prefix":"10.1007","volume":"23","author":[{"given":"Gabriele","family":"Castellini","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,11,1]]},"reference":[{"key":"9337_CR1","volume-title":"Abstract and Concrete Categories","author":"J Ad\u00e1mek","year":"1990","unstructured":"Ad\u00e1mek, J., Herrlich, H., Strecker, G.E.: Abstract and Concrete Categories. Wiley, New York (1990)"},{"key":"9337_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-8234-7","volume-title":"Categorical Closure Operators, Mathematics: Theory and Applications","author":"G Castellini","year":"2003","unstructured":"Castellini, G.: Categorical Closure Operators, Mathematics: Theory and Applications. Birkh\u00e4user, Boston (2003)"},{"key":"9337_CR3","doi-asserted-by":"crossref","first-page":"2332","DOI":"10.1016\/j.topol.2011.06.030","volume":"158","author":"G Castellini","year":"2011","unstructured":"Castellini, G.: Interior operators in a category: idempotency and heredity. Topol. Appl. 158, 2332\u20132339 (2011)","journal-title":"Topol. Appl."},{"key":"9337_CR4","unstructured":"Castellini, G., Murcia, E.: Interior Operators and Topological Separation. Topol. Appl. 160, 1476\u20131485 (2013)"},{"issue":"3","key":"9337_CR5","doi-asserted-by":"crossref","first-page":"290","DOI":"10.2989\/16073606.2010.507322","volume":"33","author":"G Castellini","year":"2010","unstructured":"Castellini, G., Ramos, J.: Interior operators and topological connectedness. Quaest. Math. 33(3), 290\u2013304 (2010)","journal-title":"Quaest. Math."},{"key":"9337_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8400-5","volume-title":"Categorical Structure of Closure Operators, with Applications to Topology, Algebra and Discrete Mathematics","author":"D Dikranjan","year":"1995","unstructured":"Dikranjan, D., Tholen, W.: Categorical Structure of Closure Operators, with Applications to Topology, Algebra and Discrete Mathematics. Kluwer, Dordrecht (1995)"},{"issue":"3","key":"9337_CR7","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1023\/A:1008750131418","volume":"8","author":"E Giuli","year":"2000","unstructured":"Giuli, E., Tholen, W.: Openness with respect to a closure operator. Appl. Categ. Struct. 8(3), 487\u2013502 (2000)","journal-title":"Appl. Categ. Struct."},{"issue":"17","key":"9337_CR8","doi-asserted-by":"crossref","first-page":"2356","DOI":"10.1016\/j.topol.2011.06.031","volume":"158","author":"D Holgate","year":"2011","unstructured":"Holgate, D., \u0160lapal, J.: Categorical neighborhood operators. Topol. Appl. 158(17), 2356\u20132365 (2011)","journal-title":"Topol. Appl."},{"key":"9337_CR9","unstructured":"Luna-Torres, J., Ochoa, C.: Interior Operators and Topological Categories. (preprint)"},{"key":"9337_CR10","volume-title":"PH.D. Thesis","author":"AD Razafindrakoto","year":"2013","unstructured":"Razafindrakoto, A.D.: Neighbourhood Operators on CategoriesPH.D. Thesis. University of Stellenbosch, South Africa (2013)"},{"key":"9337_CR11","doi-asserted-by":"crossref","first-page":"405","DOI":"10.2989\/16073600009485987","volume":"23","author":"SJR Vorster","year":"2000","unstructured":"Vorster, S.JR.: Interior operators in general categories. Quaest. Math. 23, 405\u2013416 (2000)","journal-title":"Quaest. Math."}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-013-9337-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10485-013-9337-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-013-9337-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T18:25:59Z","timestamp":1559154359000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10485-013-9337-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,1]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,6]]}},"alternative-id":["9337"],"URL":"https:\/\/doi.org\/10.1007\/s10485-013-9337-4","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"value":"0927-2852","type":"print"},{"value":"1572-9095","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11,1]]}}}