{"id":"https://openalex.org/W2027856839","doi":"https://doi.org/10.1017/s0963548303005686","title":"A Partition Theorem for Scattered Order Types","display_name":"A Partition Theorem for Scattered Order Types","publication_year":2003,"publication_date":"2003-11-01","ids":{"openalex":"https://openalex.org/W2027856839","doi":"https://doi.org/10.1017/s0963548303005686","mag":"2027856839"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548303005686","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548303005686","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044179959","display_name":"P\u00e9ter Komj\u00e1th","orcid":"https://orcid.org/0000-0002-2806-6103"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"P\u00e9ter Komj\u00e1th","raw_affiliation_strings":["Department of Computer Science, E\u00f6tv\u00f6s University, P\u00e1zmany P\u00e9ter S\u00e9tany 1/C, H-1117, Budapest, Hungary","Department of Computer Science, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1/C, H-1117 Budapest, Hungary (e-mail: [email\u00a0protected])#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, E\u00f6tv\u00f6s University, P\u00e1zmany P\u00e9ter S\u00e9tany 1/C, H-1117, Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"Department of Computer Science, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1/C, H-1117 Budapest, Hungary (e-mail: [email\u00a0protected])#TAB#","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024923217","display_name":"Saharon Shelah","orcid":"https://orcid.org/0000-0003-0462-3152"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Saharon Shelah","raw_affiliation_strings":["Institute of Mathematics, Hebrew University, Givat Ram, 91904, Jerusalem, Israel","Institute of Mathematics, Hebrew University, Givat Ram, 91904, Jerusalem, Israel (e-mail: shelah@math.huji.ac.il)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hebrew University, Givat Ram, 91904, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Mathematics, Hebrew University, Givat Ram, 91904, Jerusalem, Israel (e-mail: shelah@math.huji.ac.il)#TAB#","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024923217","https://openalex.org/A5044179959"],"corresponding_institution_ids":["https://openalex.org/I106118109","https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.14193092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"12","issue":"5-6","first_page":"621","last_page":"626"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962000250816345,"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":0.9962000250816345,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9901999831199646,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/order-type","display_name":"Order type","score":0.8377361297607422},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.7387338876724243},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.7026488184928894},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6513271331787109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5536500215530396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29535117745399475},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27863597869873047},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06259000301361084},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.04195338487625122}],"concepts":[{"id":"https://openalex.org/C138890893","wikidata":"https://www.wikidata.org/wiki/Q620006","display_name":"Order type","level":2,"score":0.8377361297607422},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7387338876724243},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7026488184928894},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6513271331787109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5536500215530396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29535117745399475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27863597869873047},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06259000301361084},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.04195338487625122},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0963548303005686","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548303005686","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.205.4245","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.4245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://shelah.logic.at/files/796.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.237.5442","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.237.5442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0212022v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W213603931","https://openalex.org/W1964766966"],"related_works":["https://openalex.org/W4255922664","https://openalex.org/W2068227483","https://openalex.org/W3193217268","https://openalex.org/W2001063456","https://openalex.org/W4237089393","https://openalex.org/W2341789161","https://openalex.org/W2075578888","https://openalex.org/W2167365497","https://openalex.org/W3045479040","https://openalex.org/W2198735409"],"abstract_inverted_index":{"If":[0],"\u03c6":[1],"is":[2,9],"a":[3,10,15],"scattered":[4,16],"order":[5,17],"type,":[6],"and":[7],"\u03bc":[8],"cardinal,":[11],"then":[12],"there":[13],"exists":[14],"type":[18],"\u03c8":[19],"such":[20],"that":[21],"holds.":[22]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
