{"id":"https://openalex.org/W2189970814","doi":"https://doi.org/10.1023/a:1024449306316","title":"On the Cofinality of Infinite Partially Ordered Sets: Factoring a Poset into Lean Essential Subsets","display_name":"On the Cofinality of Infinite Partially Ordered Sets: Factoring a Poset into Lean Essential Subsets","publication_year":2003,"publication_date":"2003-03-01","ids":{"openalex":"https://openalex.org/W2189970814","doi":"https://doi.org/10.1023/a:1024449306316","mag":"2189970814"},"language":"en","primary_location":{"id":"doi:10.1023/a:1024449306316","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1024449306316","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","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/A5027655720","display_name":"Reinhard Diestel","orcid":"https://orcid.org/0000-0002-2825-442X"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Reinhard Diestel","raw_affiliation_strings":["Mathematisches Seminar, Universit\u00e4t Hamburg, Bundesstra\u00dfe 55, D-20146, Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Seminar, Universit\u00e4t Hamburg, Bundesstra\u00dfe 55, D-20146, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080095759","display_name":"Oleg Pikhurko","orcid":"https://orcid.org/0000-0002-9657-4011"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oleg Pikhurko","raw_affiliation_strings":["DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WB, England"],"affiliations":[{"raw_affiliation_string":"DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WB, England","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027655720"],"corresponding_institution_ids":["https://openalex.org/I159176309"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4501,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64722155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"1","first_page":"53","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9991000294685364,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9968000054359436,"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/cofinality","display_name":"Cofinality","score":0.9954392910003662},{"id":"https://openalex.org/keywords/uncountable-set","display_name":"Uncountable set","score":0.9475140571594238},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8459019660949707},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.8377867937088013},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5737802982330322},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49210208654403687},{"id":"https://openalex.org/keywords/antichain","display_name":"Antichain","score":0.44455182552337646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4156866669654846},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4151104688644409},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4040552079677582},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05897873640060425}],"concepts":[{"id":"https://openalex.org/C148070024","wikidata":"https://www.wikidata.org/wiki/Q1283623","display_name":"Cofinality","level":4,"score":0.9954392910003662},{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.9475140571594238},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8459019660949707},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8377867937088013},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5737802982330322},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49210208654403687},{"id":"https://openalex.org/C136134351","wikidata":"https://www.wikidata.org/wiki/Q431937","display_name":"Antichain","level":3,"score":0.44455182552337646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4156866669654846},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4151104688644409},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4040552079677582},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05897873640060425},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1024449306316","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1024449306316","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.6000000238418579,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W64508104","https://openalex.org/W1561798411","https://openalex.org/W1986328834","https://openalex.org/W1993801540","https://openalex.org/W2063123775","https://openalex.org/W2073734137","https://openalex.org/W2908087920"],"related_works":["https://openalex.org/W2103474290","https://openalex.org/W2973517705","https://openalex.org/W2228716735","https://openalex.org/W1980797216","https://openalex.org/W2128485936","https://openalex.org/W4388048497","https://openalex.org/W2037482154","https://openalex.org/W4308614172","https://openalex.org/W2189970814","https://openalex.org/W2043110218"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}