{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T15:35:54Z","timestamp":1759073754533},"reference-count":4,"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":6585,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1996,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We characterize omissibility of a type, or a family of types, in a countable theory in terms of non-existence of a certain tree of formulas. We extend results of L. Newelski on omitting &lt; cov<jats:italic>K<\/jats:italic> non-isolated types. As a consequence we prove that omissibility of a family of &lt; cov<jats:italic>K<\/jats:italic> types is equivalent to omissibility of each countable subfamily.<\/jats:p>","DOI":"10.2307\/2275607","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:57:36Z","timestamp":1146956256000},"page":"236-245","source":"Crossref","is-referenced-by-count":7,"title":["Omitting types in incomplete theories"],"prefix":"10.1017","volume":"61","author":[{"given":"Enrique","family":"Casanovas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rafel","family":"Farr\u00e9","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200017734_ref003","volume-title":"Classification theory","author":"Shelah","year":"1990"},{"key":"S0022481200017734_ref002","first-page":"1037","volume":"55","author":"Newelski","year":"1990","journal-title":"Omitting types for stable ccc theories"},{"key":"S0022481200017734_ref001","first-page":"1020","volume":"52","author":"Newelski","year":"1987","journal-title":"Omitting types and the real line"},{"key":"S0022481200017734_ref004","doi-asserted-by":"publisher","DOI":"10.7146\/math.scand.a-11470"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200017734","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T19:07:22Z","timestamp":1557774442000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200017734\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,3]]},"references-count":4,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1996,3]]}},"alternative-id":["S0022481200017734"],"URL":"https:\/\/doi.org\/10.2307\/2275607","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,3]]}}}