{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,23]],"date-time":"2024-03-23T04:12:15Z","timestamp":1711167135571},"reference-count":5,"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":741,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2012,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, we continue the construction done in [3], so that under model-4-CA or 4-CA, given a bounded quadrangle<jats:italic>C<\/jats:italic>induced from a group configuration, we build a canonical hyperdefinable homogeneous space equivalent to<jats:italic>C<\/jats:italic>. When<jats:italic>C<\/jats:italic>is principal, we can choose the homogeneous space principal as well.<\/jats:p>","DOI":"10.2178\/jsl\/1264433907","type":"journal-article","created":{"date-parts":[[2010,1,25]],"date-time":"2010-01-25T15:38:59Z","timestamp":1264433939000},"page":"12-24","source":"Crossref","is-referenced-by-count":0,"title":["Recovering the hyperdefinable group action in the group configuration theorem"],"prefix":"10.1017","volume":"75","author":[{"given":"Byunghan","family":"Kim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002814_ref003","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061306000530"},{"key":"S0022481200002814_ref002","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534372.001.0001","volume-title":"Geometric Stability Theory","author":"Pillay","year":"1996"},{"key":"S0022481200002814_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-3002-0"},{"key":"S0022481200002814_ref004","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061303000261"},{"key":"S0022481200002814_ref001","doi-asserted-by":"publisher","DOI":"10.2307\/421004"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002814","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,23]],"date-time":"2024-03-23T03:46:54Z","timestamp":1711165614000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002814\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,3]]}},"alternative-id":["S0022481200002814"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1264433907","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3]]}}}