{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,17]],"date-time":"2023-10-17T07:43:10Z","timestamp":1697528590880},"reference-count":6,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2010,7,12]],"date-time":"2010-07-12T00:00:00Z","timestamp":1278892800000},"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":[[2010,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove that a function definable with parameters in an o\u2010minimal structure is bounded away from \u221e as its argument goes to \u221e by a function definable without parameters, and that this new function can be chosen independently of the parameters in the original function. This generalizes a result in [1]. Moreover, this remains true if the argument is taken to approach any element of the structure (or \u00b1\u221e), and the function has limit any element of the structure (or \u00b1\u221e) (\u00a9 2010 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/malq.200910031","type":"journal-article","created":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T18:27:36Z","timestamp":1279045656000},"page":"406-408","source":"Crossref","is-referenced-by-count":0,"title":["Uniform bounds on growth in o\u2010minimal structures"],"prefix":"10.1002","volume":"56","author":[{"given":"Janak","family":"Ramakrishnan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,7,12]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1120224720"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-96-08416-1"},{"key":"e_1_2_1_4_2","doi-asserted-by":"crossref","unstructured":"L.van den Dries Tame Topology and O\u2010minimal Structures (Cambridge University Press 1998).","DOI":"10.1017\/CBO9780511525919"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-98-02288-0"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1112\/S0024611598000549"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.2178\/jsl\/1107298509"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200910031","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.200910031","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.200910031","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,16]],"date-time":"2023-10-16T06:26:45Z","timestamp":1697437605000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.200910031"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7,12]]},"references-count":6,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,8]]}},"alternative-id":["10.1002\/malq.200910031"],"URL":"https:\/\/doi.org\/10.1002\/malq.200910031","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,7,12]]}}}