{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:26:35Z","timestamp":1775053595820,"version":"3.50.1"},"reference-count":8,"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=\"S0022481200002954_inline1\"\/> be an o-minimal structure over a real closed field <jats:italic>R<\/jats:italic>. Given a simplicial complex <jats:italic>K<\/jats:italic> and some definable subsets <jats:italic>S<\/jats:italic><jats:sub>1<\/jats:sub>, \u2026, <jats:italic>S<jats:sub>l<\/jats:sub><\/jats:italic> of its realization \u2223<jats:italic>K<\/jats:italic>\u2223 in <jats:italic>R<\/jats:italic> we prove that there exist a subdivision <jats:italic>K<\/jats:italic>\u2032 of <jats:italic>K<\/jats:italic> and a definable triangulation \u03c6\u2032: \u2223<jats:italic>K<\/jats:italic>\u2032\u2223 \u2192 \u2223<jats:italic>K<\/jats:italic>\u2223 of \u2223<jats:italic>K<\/jats:italic>\u2223 partitioning <jats:italic>S<\/jats:italic><jats:sub>1<\/jats:sub>, \u2026, <jats:italic>S<jats:sub>l<\/jats:sub><\/jats:italic> with <jats:italic>\u03c6<\/jats:italic>\u2032 definably homotopic to <jats:italic>id<\/jats:italic><jats:sub>\u2223<jats:italic>K<\/jats:italic>\u2223<\/jats:sub>. As an application of this result we obtain the semialgebraic Hauptvermutung.<\/jats:p>","DOI":"10.2178\/jsl\/1264433921","type":"journal-article","created":{"date-parts":[[2010,1,25]],"date-time":"2010-01-25T15:38:59Z","timestamp":1264433939000},"page":"275-288","source":"Crossref","is-referenced-by-count":4,"title":["Normal triangulations in o-minimal structures"],"prefix":"10.1017","volume":"75","author":[{"given":"El\u00edas","family":"Baro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002954_ref008","unstructured":"Woerheide A. , O-minimal homology, Ph.D. thesis, University of Illinois at Urbana-Champaign, 1996."},{"key":"S0022481200002954_ref006","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1984-0760983-2"},{"key":"S0022481200002954_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0074551"},{"key":"S0022481200002954_ref002","first-page":"395","article-title":"Unicit\u00e9 des triangulations semi-alg\u00e9briques: validit\u00e9 sur un corps r\u00e9el clos quelconque, et effectivit\u00e9 forte","volume":"312","author":"Coste","year":"1991","journal-title":"Comptes Rendus de l'Acad\u00e9mie des Sciences. S\u00e9rie I. Math\u00e9matique"},{"key":"S0022481200002954_ref001","first-page":"15","article-title":"On o-minimal homotopy groups","author":"Baro","year":"2009","journal-title":"The Quarterly Journal of Mathematics"},{"key":"S0022481200002954_ref007","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511525919"},{"key":"S0022481200002954_ref005","doi-asserted-by":"publisher","DOI":"10.1112\/S0024609306018832"},{"key":"S0022481200002954_ref004","first-page":"1817","volume":"66","author":"Johns","year":"2001","journal-title":"An open mapping theorem for o-minimal structures"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002954","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T20:37:06Z","timestamp":1556483826000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002954\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3]]},"references-count":8,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,3]]}},"alternative-id":["S0022481200002954"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1264433921","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,3]]}}}