{"id":"https://openalex.org/W2037761083","doi":"https://doi.org/10.1016/s0168-0072(97)00030-4","title":"Sticks and clubs","display_name":"Sticks and clubs","publication_year":1997,"publication_date":"1997-12-01","ids":{"openalex":"https://openalex.org/W2037761083","doi":"https://doi.org/10.1016/s0168-0072(97)00030-4","mag":"2037761083"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(97)00030-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(97)00030-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","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/A5085678874","display_name":"Saka\u00e9 Fuchino","orcid":"https://orcid.org/0000-0002-8884-6005"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Saka\u00e9 Fuchino","raw_affiliation_strings":["Institut f\u00fcr Mathematik II, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik II, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024923217","display_name":"Saharon Shelah","orcid":"https://orcid.org/0000-0003-0462-3152"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"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","US"],"is_corresponding":false,"raw_author_name":"Saharon Shelah","raw_affiliation_strings":["Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA","Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel","Institute of Mathematics The Hebrew University of Jerusalem 91904 Jerusalem Israel","Department of Mathematics, Rutgers University; New Brunswick, NJ 08854, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Mathematics The Hebrew University of Jerusalem 91904 Jerusalem Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Department of Mathematics, Rutgers University; New Brunswick, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060501499","display_name":"Lajos Soukup","orcid":"https://orcid.org/0000-0002-3975-0293"},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Lajos Soukup","raw_affiliation_strings":["Mathematical Institute of the Hungarian Academy of Sciences, Hungary","Mathematical Institute of the Hungarian Academy of Sciences, Hungary#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute of the Hungarian Academy of Sciences, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Mathematical Institute of the Hungarian Academy of Sciences, Hungary#TAB#","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085678874"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":1.0909,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.74150327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"90","issue":"1-3","first_page":"57","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.8661454916000366},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.81147301197052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7794315218925476},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6251531839370728},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6170045733451843},{"id":"https://openalex.org/keywords/club","display_name":"Club","score":0.5304949283599854},{"id":"https://openalex.org/keywords/product-topology","display_name":"Product topology","score":0.4607279300689697},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45137467980384827},{"id":"https://openalex.org/keywords/axiom-independence","display_name":"Axiom independence","score":0.4235553741455078},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3878726065158844}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8661454916000366},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.81147301197052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7794315218925476},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6251531839370728},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6170045733451843},{"id":"https://openalex.org/C2776459890","wikidata":"https://www.wikidata.org/wiki/Q3297812","display_name":"Club","level":2,"score":0.5304949283599854},{"id":"https://openalex.org/C123222754","wikidata":"https://www.wikidata.org/wiki/Q1070472","display_name":"Product topology","level":2,"score":0.4607279300689697},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45137467980384827},{"id":"https://openalex.org/C170088968","wikidata":"https://www.wikidata.org/wiki/Q4830547","display_name":"Axiom independence","level":3,"score":0.4235553741455078},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3878726065158844},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0168-0072(97)00030-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(97)00030-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322248","display_name":"Israel Academy of Sciences and Humanities","ror":"https://ror.org/03c6c9520"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W151695810","https://openalex.org/W1591138703","https://openalex.org/W1595388840","https://openalex.org/W2004745650","https://openalex.org/W2034127031","https://openalex.org/W2034778045","https://openalex.org/W2052673084","https://openalex.org/W2086387381","https://openalex.org/W2088037688","https://openalex.org/W2157594656","https://openalex.org/W2907071770","https://openalex.org/W6606203634","https://openalex.org/W6683187429"],"related_works":["https://openalex.org/W2130056398","https://openalex.org/W2166412478","https://openalex.org/W2789651766","https://openalex.org/W3215056321","https://openalex.org/W2488420124","https://openalex.org/W1508537345","https://openalex.org/W2387734943","https://openalex.org/W2355377260","https://openalex.org/W1981734275","https://openalex.org/W2090677897"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-29T08:15:47.926485","created_date":"2016-06-24T00:00:00"}
