{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,4]],"date-time":"2023-10-04T06:40:44Z","timestamp":1696401644123},"reference-count":9,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2014,5,11]],"date-time":"2014-05-11T00:00:00Z","timestamp":1399766400000},"content-version":"vor","delay-in-days":10,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p>We show, for various classes of totally ordered structures <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201300047-math-0001.png\" xlink:title=\"urn:x-wiley:09425616:malq201300047:equation:malq201300047-math-0001\" \/>, including o\u2010minimal and weakly o\u2010minimal structures, that every definable partial order on a subset of <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201300047-math-0002.png\" xlink:title=\"urn:x-wiley:09425616:malq201300047:equation:malq201300047-math-0002\" \/> extends <jats:italic>definably in<\/jats:italic>\u00a0<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201300047-math-0003.png\" xlink:title=\"urn:x-wiley:09425616:malq201300047:equation:malq201300047-math-0003\" \/> to a total order. This extends the result proved in <jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"#malq201300047-bib-0005\" \/> for <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201300047-math-0004.png\" xlink:title=\"urn:x-wiley:09425616:malq201300047:equation:malq201300047-math-0004\" \/> and <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201300047-math-0005.png\" xlink:title=\"urn:x-wiley:09425616:malq201300047:equation:malq201300047-math-0005\" \/> o\u2010minimal.<\/jats:p>","DOI":"10.1002\/malq.201300047","type":"journal-article","created":{"date-parts":[[2014,5,11]],"date-time":"2014-05-11T18:20:01Z","timestamp":1399832401000},"page":"205-210","source":"Crossref","is-referenced-by-count":2,"title":["Definably extending partial orders in totally ordered structures"],"prefix":"10.1002","volume":"60","author":[{"given":"Janak","family":"Ramakrishnan","sequence":"first","affiliation":[{"name":"Google Inc., 76 9th Ave  New York NY 10011 United States of America"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Charles","family":"Steinhorn","sequence":"additional","affiliation":[{"name":"Department of Mathematics Vassar College  124 Raymond Avenue Poughkeepsie 12604 NY United States of America"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2014,5,11]]},"reference":[{"key":"e_1_2_5_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/2586690"},{"key":"e_1_2_5_3_1","doi-asserted-by":"publisher","DOI":"10.2307\/2586759"},{"key":"e_1_2_5_4_1","unstructured":"E.Hrushovski Valued fields metastable groups Preprint."},{"issue":"3","key":"e_1_2_5_5_1","doi-asserted-by":"crossref","first-page":"301","DOI":"10.4064\/fm-155-3-301-309","article-title":"When a partial borel order is linearizable","volume":"155","author":"Kanovei V.","year":"1998","journal-title":"Fundam. 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