{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T09:42:15Z","timestamp":1775209335981,"version":"3.50.1"},"reference-count":13,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T00:00:00Z","timestamp":1542672000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100006115","name":"Institute for Research in Fundamental Sciences","doi-asserted-by":"publisher","award":["95030059"],"award-info":[{"award-number":["95030059"]}],"id":[{"id":"10.13039\/501100006115","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2018,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We define the notion <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201700070-math-0001.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201700070:malq201700070-math-0001\"\/> has the NIP (not the independence property) in <jats:italic>A<\/jats:italic>, where <jats:italic>A<\/jats:italic> is a subset of a model, and give some equivalences by translating results from function theory. We also discuss the number of coheirs when <jats:italic>A<\/jats:italic> is not necessarily countable, and revisit the notion \u201c<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201700070-math-0002.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201700070:malq201700070-math-0002\"\/> has the NOP (not the order property) in a model <jats:italic>M<\/jats:italic>\u201d.<\/jats:p>","DOI":"10.1002\/malq.201700070","type":"journal-article","created":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T13:51:01Z","timestamp":1542721861000},"page":"429-434","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Remarks on the NIP in a model"],"prefix":"10.1002","volume":"64","author":[{"given":"Karim","family":"Khanaki","sequence":"first","affiliation":[{"name":"Department of Science Arak University of Technology P.O. Box 38135\u20101177 Arak Iran"}]},{"given":"Anand","family":"Pillay","sequence":"additional","affiliation":[{"name":"Department of Mathematics University of Notre Dame Notre Dame IN 46556 United States of America"}]}],"member":"311","published-online":{"date-parts":[[2018,11,20]]},"reference":[{"key":"e_1_2_4_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/2373913"},{"key":"e_1_2_4_3_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-10-04837-3"},{"key":"e_1_2_4_4_1","doi-asserted-by":"publisher","DOI":"10.1090\/jams\/896"},{"key":"e_1_2_4_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-016-1399-1"},{"key":"e_1_2_4_6_1","unstructured":"K.Khanaki Stability NIP and NSOP; model theoretic properties of formulas via topological properties of function spaces preprint (2015) arXiv:1410.3339."},{"key":"e_1_2_4_7_1","unstructured":"K.Khanaki \u21350\u2010categorical spaces containorc0 preprint (2016) arXiv:1603.08134."},{"key":"e_1_2_4_8_1","doi-asserted-by":"publisher","DOI":"10.2307\/2273388"},{"key":"e_1_2_4_9_1","volume-title":"An Introduction to Stability Theory","author":"Pillay A.","year":"1983"},{"issue":"2","key":"e_1_2_4_10_1","first-page":"1","article-title":"Generic stability and Grothendieck","volume":"2","author":"Pillay A.","year":"2016","journal-title":"S. Amer. J. Log."},{"key":"e_1_2_4_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8622-1"},{"key":"e_1_2_4_12_1","volume-title":"Classification Theory and the Number of Nonisomorphic Models","author":"Shelah S.","year":"1990"},{"key":"e_1_2_4_13_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm231-1-5"},{"key":"e_1_2_4_14_1","doi-asserted-by":"publisher","DOI":"10.1137\/1116025"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.201700070","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.201700070","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T00:54:09Z","timestamp":1694739249000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.201700070"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,20]]},"references-count":13,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["10.1002\/malq.201700070"],"URL":"https:\/\/doi.org\/10.1002\/malq.201700070","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,11,20]]},"assertion":[{"value":"2017-11-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-03-21","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-11-20","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}