{"id":"https://openalex.org/W1964330699","doi":"https://doi.org/10.1007/s00153-008-0075-5","title":"Some weak fragments of Martin\u2019s axiom related to the rectangle refining property","display_name":"Some weak fragments of Martin\u2019s axiom related to the rectangle refining property","publication_year":2008,"publication_date":"2008-05-26","ids":{"openalex":"https://openalex.org/W1964330699","doi":"https://doi.org/10.1007/s00153-008-0075-5","mag":"1964330699"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-008-0075-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-008-0075-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://shizuoka.repo.nii.ac.jp/record/1639/files/080701001.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011716477","display_name":"Teruyuki Yorioka","orcid":null},"institutions":[{"id":"https://openalex.org/I1298590031","display_name":"Shizuoka University","ror":"https://ror.org/01w6wtk13","country_code":"JP","type":"education","lineage":["https://openalex.org/I1298590031"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Teruyuki Yorioka","raw_affiliation_strings":["Department of Mathematics, Shizuoka University, Ohya 836, Shizuoka, 422-8059, Japan","Shizuoka University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shizuoka University, Ohya 836, Shizuoka, 422-8059, Japan","institution_ids":["https://openalex.org/I1298590031"]},{"raw_affiliation_string":"Shizuoka University","institution_ids":["https://openalex.org/I1298590031"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011716477"],"corresponding_institution_ids":["https://openalex.org/I1298590031"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.368,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77309827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"1","first_page":"79","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9997000098228455,"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":0.9997000098228455,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.987500011920929,"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/rectangle","display_name":"Rectangle","score":0.7884221076965332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7844866514205933},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7295152544975281},{"id":"https://openalex.org/keywords/refining","display_name":"Refining (metallurgy)","score":0.6767951250076294},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6743468642234802},{"id":"https://openalex.org/keywords/zermelo\u2013fraenkel-set-theory","display_name":"Zermelo\u2013Fraenkel set theory","score":0.5750746726989746},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.5611631274223328},{"id":"https://openalex.org/keywords/urelement","display_name":"Urelement","score":0.525606632232666},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.493132084608078},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3799450695514679},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37560001015663147},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.1560959815979004},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14831849932670593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11206415295600891},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.0982983410358429},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0856785774230957},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.04708445072174072}],"concepts":[{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.7884221076965332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7844866514205933},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7295152544975281},{"id":"https://openalex.org/C60044698","wikidata":"https://www.wikidata.org/wiki/Q1283324","display_name":"Refining (metallurgy)","level":2,"score":0.6767951250076294},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6743468642234802},{"id":"https://openalex.org/C51460","wikidata":"https://www.wikidata.org/wiki/Q191849","display_name":"Zermelo\u2013Fraenkel set theory","level":5,"score":0.5750746726989746},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.5611631274223328},{"id":"https://openalex.org/C78550038","wikidata":"https://www.wikidata.org/wiki/Q1896657","display_name":"Urelement","level":5,"score":0.525606632232666},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.493132084608078},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3799450695514679},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37560001015663147},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.1560959815979004},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14831849932670593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11206415295600891},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0982983410358429},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0856785774230957},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.04708445072174072},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-008-0075-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-008-0075-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:ir.lib.shizuoka.ac.jp:10297/2406","is_oa":true,"landing_page_url":"http://hdl.handle.net/10297/2406","pdf_url":"https://shizuoka.repo.nii.ac.jp/record/1639/files/080701001.pdf","source":{"id":"https://openalex.org/S4306400418","display_name":"Shizuoka University Repository (Shizuoka University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1298590031","host_organization_name":"Shizuoka University","host_organization_lineage":["https://openalex.org/I1298590031"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:ir.lib.shizuoka.ac.jp:10297/2406","is_oa":true,"landing_page_url":"http://hdl.handle.net/10297/2406","pdf_url":"https://shizuoka.repo.nii.ac.jp/record/1639/files/080701001.pdf","source":{"id":"https://openalex.org/S4306400418","display_name":"Shizuoka University Repository (Shizuoka University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1298590031","host_organization_name":"Shizuoka University","host_organization_lineage":["https://openalex.org/I1298590031"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1964330699.pdf","grobid_xml":"https://content.openalex.org/works/W1964330699.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1550803257","https://openalex.org/W1582222774","https://openalex.org/W1591138703","https://openalex.org/W1601878490","https://openalex.org/W1699717637","https://openalex.org/W1988339238","https://openalex.org/W1999882760","https://openalex.org/W2024137117","https://openalex.org/W2025774568","https://openalex.org/W2059156895","https://openalex.org/W2095171906","https://openalex.org/W2732187367","https://openalex.org/W2953753708","https://openalex.org/W4250747102"],"related_works":["https://openalex.org/W2031083694","https://openalex.org/W288388583","https://openalex.org/W2350176099","https://openalex.org/W4233243512","https://openalex.org/W1987027468","https://openalex.org/W993994698","https://openalex.org/W2088182113","https://openalex.org/W2117235496","https://openalex.org/W4230409512","https://openalex.org/W2121477426"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-07T14:57:38.498316","created_date":"2025-10-10T00:00:00"}