{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T15:46:02Z","timestamp":1762271162334},"reference-count":12,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2007,9,26]],"date-time":"2007-09-26T00:00:00Z","timestamp":1190764800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2007,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Suppose <jats:italic>G<\/jats:italic> is a definably connected, definable group in an o\u2010minimal expansion of an ordered group. We show that the o\u2010minimal universal covering homomorphism <jats:styled-content>$ \\tilde p $<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-ueqn-1.gif\" xlink:title=\"equation image\" \/><\/jats:styled-content>: <jats:styled-content>$ \\tilde G $<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-ueqn-2.gif\" xlink:title=\"equation image\" \/><\/jats:styled-content>\u2192 <jats:italic>G<\/jats:italic> is a locally definable covering homomorphism and <jats:italic>\u03c0<\/jats:italic><jats:sub>1<\/jats:sub>(<jats:italic>G<\/jats:italic>) is isomorphic to the o\u2010minimal fundamental group <jats:italic>\u03c0<\/jats:italic> (<jats:italic>G<\/jats:italic>) of <jats:italic>G<\/jats:italic> defined using locally definable covering homomorphisms. (\u00a9 2007 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200610051","type":"journal-article","created":{"date-parts":[[2007,9,26]],"date-time":"2007-09-26T12:46:49Z","timestamp":1190810809000},"page":"571-582","source":"Crossref","is-referenced-by-count":19,"title":["The universal covering homomorphism in o\u2010minimal expansions of groups"],"prefix":"10.1002","volume":"53","author":[{"given":"M\u00e1rio J.","family":"Edmundo","sequence":"first","affiliation":[]},{"given":"Pantelis E.","family":"Eleftheriou","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2007,9,26]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610701003015"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"C. T. J.Dodson andP. 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