{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T17:27:12Z","timestamp":1694626032233},"reference-count":5,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":9873,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1987,3]]},"abstract":"<jats:p>Two elementary extensions of the topos axioms are given, each implying the topos has a local geometric morphism to a category of sets. The stronger one realizes sets as precisely the decidables of the topos, so there is a simple internal description of the range of validity of the law of excluded middle in the topos. It also has a natural geometric meaning. Models of the extensions in Grothendieck toposes are described.<\/jats:p>","DOI":"10.2307\/2273873","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:20:33Z","timestamp":1146954033000},"page":"202-204","source":"Crossref","is-referenced-by-count":0,"title":["Elementary axioms for canonical points of toposes"],"prefix":"10.1017","volume":"52","author":[{"given":"Colin","family":"McLarty","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200030103_bib003","volume-title":"Elementary theory of the category of sets","author":"Lawvere","year":"1963"},{"key":"S0022481200030103_bib005","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0073963"},{"key":"S0022481200030103_bib001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-0021-0"},{"key":"S0022481200030103_bib004","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(84)90049-5"},{"key":"S0022481200030103_bib002","article-title":"Objets compacts dans les topos","author":"Dubuc","journal-title":"Journal of the Australian Mathematical Society Series A"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200030103","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,11]],"date-time":"2022-04-11T08:14:00Z","timestamp":1649664840000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.cambridge.org\/core\/product\/identifier\/S0022481200030103\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,3]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1987,3]]}},"alternative-id":["S0022481200030103"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.2307\/2273873","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1987,3]]}}}