{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T11:30:25Z","timestamp":1771932625063,"version":"3.50.1"},"reference-count":11,"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":1472,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2010,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Dp-minimality is a common generalization of weak minimality and weak o-minimality. If<jats:italic>T<\/jats:italic>is a weakly o-minimal theory then it is dp-minimal (Fact 2.2), but there are dp-minimal densely ordered groups that are not weakly o-minimal. We introduce the even more general notion of inp-minimality and prove that in an inp-minimal densely ordered group, every definable unary function is a union of finitely many continuous locally monotonic functions (Theorem 3.2).<\/jats:p>","DOI":"10.2178\/jsl\/1264433917","type":"journal-article","created":{"date-parts":[[2010,1,25]],"date-time":"2010-01-25T15:38:59Z","timestamp":1264433939000},"page":"221-238","source":"Crossref","is-referenced-by-count":13,"title":["A monotonicity theorem for dp-minimal densely ordered groups"],"prefix":"10.1017","volume":"75","author":[{"given":"John","family":"Goodrick","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002917_ref011","unstructured":"Shelah Saharon , Strongly dependent theories, arXiv.math\/0504197v3, 2007."},{"key":"S0022481200002917_ref010","first-page":"265","article-title":"Classification theory for elementary classes with the dependence property\u2014a modest beginning","volume":"59","author":"Shelah","year":"2004","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"S0022481200002917_ref009","unstructured":"Onshuus Alf and Usvyatsov Alexander , On dp-minimality, strong dependence, and weight, submitted, 2008."},{"key":"S0022481200002917_ref008","first-page":"193","article-title":"Expansions of the real line by open sets: o-minimality and open cores","volume":"162","author":"Miller","year":"1999","journal-title":"Fundamenta Mathematicae"},{"key":"S0022481200002917_ref005","first-page":"64","volume-title":"Proceedings of the third Easter conference on model theory","author":"Dickmann","year":"1985"},{"key":"S0022481200002917_ref001","doi-asserted-by":"crossref","unstructured":"Adler Hans , Strong theories, burden, and weight, preprint, 2007.","DOI":"10.1126\/stke.3902007tw202"},{"key":"S0022481200002917_ref002","unstructured":"Adler Hans , An introduction to theories without the independence property, to appear, 2008."},{"key":"S0022481200002917_ref003","unstructured":"Arefiev Roman , On monotonicity for weakly o-minimal structures, unpublished."},{"key":"S0022481200002917_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(98)00021-9"},{"key":"S0022481200002917_ref006","doi-asserted-by":"crossref","unstructured":"Dolich Alfred , Miller Chris , and Speissegger Patrick , Structures having o-minimal open core, to appear, 2009.","DOI":"10.1090\/S0002-9947-09-04908-3"},{"key":"S0022481200002917_ref007","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-00-02633-7"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002917","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T19:07:46Z","timestamp":1685387266000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002917\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,3]]}},"alternative-id":["S0022481200002917"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1264433917","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,3]]}}}