{"id":"https://openalex.org/W2129220077","doi":"https://doi.org/10.1002/malq.200910031","title":"Uniform bounds on growth in o\u2010minimal structures","display_name":"Uniform bounds on growth in o\u2010minimal structures","publication_year":2010,"publication_date":"2010-07-12","ids":{"openalex":"https://openalex.org/W2129220077","doi":"https://doi.org/10.1002/malq.200910031","mag":"2129220077"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200910031","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200910031","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0703776","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Janak Ramakrishnan","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Janak Ramakrishnan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1591271,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"4","first_page":"406","last_page":"408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.021299999207258224,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.010400000028312206,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7354000210762024},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.6629999876022339},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5483999848365784},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.539900004863739},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.4952999949455261}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8812000155448914},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7354000210762024},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.6629999876022339},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5483999848365784},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.539900004863739},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.4952999949455261},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4341000020503998},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38850000500679016},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2879999876022339},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.26100000739097595}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.200910031","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200910031","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0703776","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0703776","pdf_url":"https://arxiv.org/pdf/math/0703776","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math/0703776","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0703776","pdf_url":"https://arxiv.org/pdf/math/0703776","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1501191573","https://openalex.org/W1992167964","https://openalex.org/W1996195522","https://openalex.org/W2025021296","https://openalex.org/W2072970018","https://openalex.org/W2162052349"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3,31],"a":[4,25,48],"function":[5,26,34,72],"definable":[6,27],"with":[7],"parameters":[8,41],"in":[9,42,50],"an":[10],"o\u2010minimal":[11],"structure":[12,67,79],"is":[13,59],"bounded":[14],"away":[15],"from":[16],"\u221e":[17,23],"as":[18],"its":[19],"argument":[20,58],"goes":[21],"to":[22,61],"by":[24],"without":[28],"parameters,":[29],"and":[30,70],"this":[32,53],"new":[33],"can":[35],"be":[36],"chosen":[37],"independently":[38],"of":[39,65,77],"the":[40,43,57,66,71,78],"original":[44],"function.":[45],"This":[46],"generalizes":[47],"result":[49],"[1].":[51],"Moreover,":[52],"remains":[54],"true":[55],"if":[56],"taken":[60],"approach":[62],"any":[63,75],"element":[64,76],"(or":[68,80],"\u00b1\u221e),":[69],"has":[73],"limit":[74],"\u00b1\u221e)":[81],"(\u00a9":[82],"2010":[83],"WILEY\u2010VCH":[84],"Verlag":[85],"GmbH":[86],"&amp;":[87],"Co.":[88],"KGaA,":[89],"Weinheim)":[90]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}
