{"id":"https://openalex.org/W1974501489","doi":"https://doi.org/10.1002/malq.200810032","title":"Forms of the Pasch axiom in ordered geometry","display_name":"Forms of the Pasch axiom in ordered geometry","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1974501489","doi":"https://doi.org/10.1002/malq.200810032","mag":"1974501489"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200810032","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200810032","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":["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/A5038599115","display_name":"Victor Pambuccian","orcid":"https://orcid.org/0000-0003-2263-1471"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Victor Pambuccian","raw_affiliation_strings":["NCIAS: Humanities, Arts and Cultural Studies, School of (SHARCS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NCIAS: Humanities, Arts and Cultural Studies, School of (SHARCS)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5038599115"],"corresponding_institution_ids":[],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":1.8388,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.83599509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"56","issue":"1","first_page":"29","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9993000030517578,"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/T12504","display_name":"Mathematics and Applications","score":0.9993000030517578,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9765999913215637,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/axiom","display_name":"Axiom","score":0.8689944744110107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7142096757888794},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4196930229663849},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37238284945487976},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3336825966835022}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8689944744110107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7142096757888794},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4196930229663849},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37238284945487976},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3336825966835022}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.200810032","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200810032","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W400186764","https://openalex.org/W803752352","https://openalex.org/W1528233644","https://openalex.org/W1586973422","https://openalex.org/W1595469144","https://openalex.org/W1975259197","https://openalex.org/W1981312242","https://openalex.org/W2026745357","https://openalex.org/W2089072304","https://openalex.org/W2089419547","https://openalex.org/W2090663022","https://openalex.org/W2330399089","https://openalex.org/W3205102659","https://openalex.org/W4248373218","https://openalex.org/W4251024812"],"related_works":["https://openalex.org/W2753083100","https://openalex.org/W3198799031","https://openalex.org/W2090831035","https://openalex.org/W1584952351","https://openalex.org/W2081948323","https://openalex.org/W2927058411","https://openalex.org/W3005084276","https://openalex.org/W2156879229","https://openalex.org/W2803105815","https://openalex.org/W3124251996"],"abstract_inverted_index":{"Abstract":[0],"We":[1,29],"prove":[2],"that,":[3],"in":[4],"the":[5,10,14,41],"framework":[6],"of":[7,13],"ordered":[8],"geometry,":[9],"inner":[11],"form":[12,25],"Pasch":[15,43],"axiom":[16,44],"(":[17,26,45],"IP":[18,39],")":[19,47],"does":[20],"not":[21],"imply":[22],"its":[23],"outer":[24],"OP":[27,33],").":[28],"also":[30],"show":[31],"that":[32],"can":[34],"be":[35],"properly":[36],"split":[37],"into":[38],"and":[40],"weak":[42],"WP":[46],"(\u00a9":[48],"2010":[49],"WILEY\u2010VCH":[50],"Verlag":[51],"GmbH":[52],"&amp;":[53],"Co.":[54],"KGaA,":[55],"Weinheim)":[56]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
