{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T05:00:15Z","timestamp":1648616415467},"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":8777,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1990,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show that the following property (LN) holds in the basic Cohen model as sketched by Jech: The order topology of any linearly ordered set is normal. This proves the independence of the axiom of choice from LN in ZF, and thus settles a question raised by G. Birkhoff (1940) which was partly answered by van Douwen (1985).<\/jats:p>","DOI":"10.2307\/2274967","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:33:48Z","timestamp":1146940428000},"page":"277-283","source":"Crossref","is-referenced-by-count":2,"title":["L'axiome de normalit\u00e9 pour les espaces totalement ordonn\u00e9s"],"prefix":"10.1017","volume":"55","author":[{"given":"Labib","family":"Haddad","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marianne","family":"Morillon","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200026566_ref004","unstructured":"Morillon M. , Topologie, analyse nonstandard et axiome du choix, Th\u00e8se de troisi\u00e8me cycle, Universit\u00e9 Blaise Pascal (Clermont II), Clermont-Ferrand, 1988."},{"key":"S0022481200026566_ref001","volume-title":"Lattice theory","author":"Birkhoff","year":"1967"},{"key":"S0022481200026566_ref002","first-page":"101","article-title":"Horrors of topology without AC: a nonnormal orderable space","volume":"95","author":"van Douwen","year":"1985","journal-title":"Proceedings of the American Mathematical Society"},{"key":"S0022481200026566_ref003","volume-title":"The axiom of choice","author":"Jech","year":"1973"},{"key":"S0022481200026566_ref005","volume-title":"Seminaire d'Analyse 1987\/88","author":"Morillon"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200026566","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,18]],"date-time":"2019-05-18T17:52:53Z","timestamp":1558201973000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200026566\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,3]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1990,3]]}},"alternative-id":["S0022481200026566"],"URL":"https:\/\/doi.org\/10.2307\/2274967","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,3]]}}}