{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T05:40:20Z","timestamp":1698385220369},"reference-count":4,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3969,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1996,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper we develop the notion of formal precover in a topos by defining a relation between elements and sets in a local set theory. We show that such relations are equivalent to modalities and to universal closure operators. Finally we prove that these relations are well characterized by a convenient restriction to a particular set.<\/jats:p><jats:p>Mathematics Subject Classification: 03G30, 03B20, 03F55.<\/jats:p>","DOI":"10.1002\/malq.19960420124","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T17:48:41Z","timestamp":1180201721000},"page":"289-299","source":"Crossref","is-referenced-by-count":0,"title":["Precovers, Modalities and Universal Closure Operators in a Topos"],"prefix":"10.1002","volume":"42","author":[{"given":"John L.","family":"Bell","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Silvia","family":"Gebellato","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Toposes and Local Set Theories: An introduction","author":"Bell J. L.","year":"1988"},{"key":"e_1_2_1_3_2","unstructured":"Bell J. L. Notes from a course on Local Set Theory. Padova June1991."},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0897-3_12"},{"key":"e_1_2_1_5_2","first-page":"261","volume-title":"Logic Colloquium 1988","author":"Sambin G.","year":"1989"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19960420124","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19960420124","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T22:11:00Z","timestamp":1698358260000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19960420124"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,1]]},"references-count":4,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,1]]}},"alternative-id":["10.1002\/malq.19960420124"],"URL":"https:\/\/doi.org\/10.1002\/malq.19960420124","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,1]]}}}