{"id":"https://openalex.org/W2009417302","doi":"https://doi.org/10.1007/pl00003847","title":"On the weak Freese\u2013Nation property of ?(\u03c9)","display_name":"On the weak Freese\u2013Nation property of ?(\u03c9)","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2009417302","doi":"https://doi.org/10.1007/pl00003847","mag":"2009417302"},"language":"en","primary_location":{"id":"doi:10.1007/pl00003847","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00003847","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":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/I98957242","display_name":"Kitami Institute of Technology","ror":"https://ror.org/05wks2t16","country_code":"JP","type":"education","lineage":["https://openalex.org/I98957242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Saka\u00e9 Fuchino","raw_affiliation_strings":["(for all correspondence and offprint requests) Department of Computer Sciences, Kitami Institute of Technology, Koen-cho 165, Kitami, Hokkaido 090-8507, Japan. e-mail: fuchino@math.cs.kitami-it.ac.jp. Present address: Department of Natural Science and Mathematics, College of Engineering, Chubu University, Kasugai, Aichi, 487-8501 Japan, , , , , , JP","Kitami Institute of Technology, Kitami, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(for all correspondence and offprint requests) Department of Computer Sciences, Kitami Institute of Technology, Koen-cho 165, Kitami, Hokkaido 090-8507, Japan. e-mail: fuchino@math.cs.kitami-it.ac.jp. Present address: Department of Natural Science and Mathematics, College of Engineering, Chubu University, Kasugai, Aichi, 487-8501 Japan, , , , , , JP","institution_ids":["https://openalex.org/I98957242"]},{"raw_affiliation_string":"Kitami Institute of Technology, Kitami, Japan","institution_ids":["https://openalex.org/I98957242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011338822","display_name":"Stefan Geschke","orcid":null},"institutions":[{"id":"https://openalex.org/I2800345347","display_name":"Berlin Mathematical School","ror":"https://ror.org/03zekj455","country_code":"DE","type":"education","lineage":["https://openalex.org/I2800345347"]},{"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":false,"raw_author_name":"Stefan Geschke","raw_affiliation_strings":["II. Mathematisches Institut, Freie Universit\u00e4t, Berlin, Germany. e-mail: geschke@math.fu-berlin.de, , , , , , DE","II. Mathematisches Institut, Freie Universit\u00e4t, Berlin, Germany. e-mail: geschke@math.fu-berlin.de, , DE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"II. Mathematisches Institut, Freie Universit\u00e4t, Berlin, Germany. e-mail: geschke@math.fu-berlin.de, , , , , , DE","institution_ids":["https://openalex.org/I75951250","https://openalex.org/I2800345347"]},{"raw_affiliation_string":"II. Mathematisches Institut, Freie Universit\u00e4t, Berlin, Germany. e-mail: geschke@math.fu-berlin.de, , DE","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063986643","display_name":"Lajos Soukupe","orcid":null},"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 Soukupe","raw_affiliation_strings":["Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary. e-mail: soukup@math.cs.kitami-it.ac.jp, , , , , , JP","Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary. e-mail: soukup@math.cs.kitami-it.ac.jp, JP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary. e-mail: soukup@math.cs.kitami-it.ac.jp, , , , , , JP","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary. e-mail: soukup@math.cs.kitami-it.ac.jp, JP","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.4124,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87708909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"6","first_page":"425","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9879999756813049,"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":0.9879999756813049,"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":0.9833999872207642,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9526000022888184,"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/property","display_name":"Property (philosophy)","score":0.8036106824874878},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.674542248249054},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5541097521781921},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.5531182289123535},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3665664792060852},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35658931732177734},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3308418393135071},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30162152647972107},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.1794075071811676},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06781738996505737},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.054359257221221924}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.8036106824874878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.674542248249054},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5541097521781921},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.5531182289123535},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3665664792060852},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35658931732177734},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3308418393135071},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30162152647972107},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.1794075071811676},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06781738996505737},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.054359257221221924}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00003847","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00003847","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2582753012","https://openalex.org/W4300101497","https://openalex.org/W2347721945","https://openalex.org/W2014456120","https://openalex.org/W2379797514","https://openalex.org/W2391763874","https://openalex.org/W2391530279","https://openalex.org/W2012367983","https://openalex.org/W2962977872","https://openalex.org/W4236522951"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}