{"id":"https://openalex.org/W2044359774","doi":"https://doi.org/10.1016/0012-365x(81)90202-8","title":"On the cardinalities of finite topologies and the number of antichains in partially ordered sets","display_name":"On the cardinalities of finite topologies and the number of antichains in partially ordered sets","publication_year":1981,"publication_date":"1981-01-01","ids":{"openalex":"https://openalex.org/W2044359774","doi":"https://doi.org/10.1016/0012-365x(81)90202-8","mag":"2044359774"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(81)90202-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(81)90202-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"Discrete Mathematics","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/A5112889930","display_name":"Marcel Ern\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Marcel Ern\u00e9","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Hannover, Hannover, West Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Hannover, Hannover, West Germany#TAB#","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112889930"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":3.9473,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.92430427,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"35","issue":"1-3","first_page":"119","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.9387999773025513,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.9387999773025513,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.8476603031158447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8233046531677246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7291809320449829},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.6683912873268127},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.5214952230453491},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5065568685531616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0986681878566742},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.04767081141471863}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.8476603031158447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8233046531677246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7291809320449829},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.6683912873268127},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.5214952230453491},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5065568685531616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0986681878566742},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.04767081141471863},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(81)90202-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(81)90202-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2003230391","https://openalex.org/W2018883342","https://openalex.org/W2067044524","https://openalex.org/W2077120286","https://openalex.org/W2081782633","https://openalex.org/W2102465305","https://openalex.org/W2170576960","https://openalex.org/W4212799367"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W1963087247","https://openalex.org/W4312224320","https://openalex.org/W2950265542","https://openalex.org/W4287666949","https://openalex.org/W4290944868","https://openalex.org/W3085389725","https://openalex.org/W24519920","https://openalex.org/W2087778462"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":10},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
