{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T18:52:51Z","timestamp":1648839171546},"reference-count":13,"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>Let <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200002905_inline1\" \/> = \u27e8<jats:italic>M<\/jats:italic>, +, &lt;, 0, <jats:italic>S<\/jats:italic>\u27e9 be a linear o-minimal expansion of an ordered group, and <jats:italic>G<\/jats:italic> = \u27e8<jats:italic>G<\/jats:italic>, \u2295,<jats:italic>e<jats:sub>G<\/jats:sub><\/jats:italic>) an <jats:italic>n<\/jats:italic>-dimensional group definable in <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200002905_inline1\" \/>. We show that if <jats:italic>G<\/jats:italic> is definably connected with respect to the <jats:italic>t<\/jats:italic>-topology, then it is definably isomorphic to a definable quotient group <jats:italic>U<\/jats:italic>\/<jats:italic>L.<\/jats:italic> for some convex \u2228-definable subgroup <jats:italic>U<\/jats:italic> of \u27e8<jats:italic>M<jats:sup>n<\/jats:sup><\/jats:italic>, +\u27e9 and a lattice <jats:italic>L<\/jats:italic> of rank equal to the dimension of the \u2018compact part\u2019 of <jats:italic>G<\/jats:italic>.<\/jats:p>","DOI":"10.2178\/jsl\/1264433916","type":"journal-article","created":{"date-parts":[[2010,1,25]],"date-time":"2010-01-25T15:38:59Z","timestamp":1264433939000},"page":"208-220","source":"Crossref","is-referenced-by-count":1,"title":["Groups definable in linear o-minimal structures: the non-compact case"],"prefix":"10.1017","volume":"75","author":[{"given":"Pantelis E.","family":"Eleftheriou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002905_ref004","first-page":"1108","volume":"72","author":"Eleftheriou","year":"2007","journal-title":"Groups definable in ordered vector spaces over ordered division rings"},{"key":"S0022481200002905_ref007","unstructured":"Onshuus A. , Groups definable in \u27e8\u211a, +, <\u02e9, Preprint, 2005."},{"key":"S0022481200002905_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-07-00558-9"},{"key":"S0022481200002905_ref011","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(88)90125-9"},{"key":"S0022481200002905_ref013","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(94)90127-9"},{"key":"S0022481200002905_ref012","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061304000346"},{"key":"S0022481200002905_ref010","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610799007528"},{"key":"S0022481200002905_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/BF02761295"},{"key":"S0022481200002905_ref008","doi-asserted-by":"publisher","DOI":"10.4064\/fm193-2-4"},{"key":"S0022481200002905_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2005.01.002"},{"key":"S0022481200002905_ref002","volume-title":"Lie groups and Lie algebras. Chapters 1\u20133","author":"Bourbaki","year":"1989"},{"key":"S0022481200002905_ref003","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200910027"},{"key":"S0022481200002905_ref009","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(99)00016-0"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002905","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T20:37:24Z","timestamp":1556483844000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002905\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,3]]}},"alternative-id":["S0022481200002905"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1264433916","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,3]]}}}