{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T05:25:59Z","timestamp":1767245159488},"reference-count":12,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1981,1,1]],"date-time":"1981-01-01T00:00:00Z","timestamp":347155200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":11885,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1981]]},"DOI":"10.1016\/0012-365x(81)90202-8","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T23:33:13Z","timestamp":1027639993000},"page":"119-133","source":"Crossref","is-referenced-by-count":8,"title":["On the cardinalities of finite topologies and the number of antichains in partially ordered sets"],"prefix":"10.1016","volume":"35","author":[{"given":"Marcel","family":"Ern\u00e9","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(81)90202-8_BIB1","first-page":"501","article-title":"Diskrete R\u00e4ume","volume":"2","author":"Alexandroff","year":"1937","journal-title":"Mat. Sb. (N.S.)"},{"volume":"Vol. 25","year":"1967","author":"Birkhoff","key":"10.1016\/0012-365X(81)90202-8_BIB2"},{"key":"10.1016\/0012-365X(81)90202-8_BIB3","first-page":"1091","article-title":"Recouvrements, bases de filtre et topologies d'un ensemble fini","volume":"262","author":"Comtet","year":"1966","journal-title":"Compt. Rend. Acad. Sci. Paris"},{"year":"1974","series-title":"Advanced Combinatorics","author":"Comtet","key":"10.1016\/0012-365X(81)90202-8_BIB4"},{"key":"10.1016\/0012-365X(81)90202-8_BIB5","doi-asserted-by":"crossref","first-page":"676","DOI":"10.1145\/322033.322045","article-title":"A machine representation of finite T0 topologies","volume":"24","author":"Das","year":"1977","journal-title":"J. ACM"},{"key":"10.1016\/0012-365X(81)90202-8_BIB6","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/BF01173716","article-title":"Struktur- und Anzahlformeln f\u00fcr Topologien auf endlichen Mengen","volume":"11","author":"Ern\u00e9","year":"1974","journal-title":"Manuscripta Math."},{"key":"10.1016\/0012-365X(81)90202-8_BIB7_1","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1145\/363282.363311","article-title":"On the computer enumeration of finite topologies","volume":"10","author":"Evans","year":"1967","journal-title":"Comm. ACM"},{"key":"10.1016\/0012-365X(81)90202-8_BIB7_2","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1145\/363282.363311","article-title":"On the computer enumeration of finite topologies","volume":"10","author":"Evans","year":"1967","journal-title":"Comm. ACM"},{"key":"10.1016\/0012-365X(81)90202-8_BIB8","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1090\/S0002-9947-1975-0369090-9","article-title":"Asymptotic enumeration of partial orders on a finite set","volume":"205","author":"Kleitman","year":"1975","journal-title":"Trans. AMS"},{"key":"10.1016\/0012-365X(81)90202-8_BIB9","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0012-365X(75)90008-4","article-title":"On the cardinalities of finite topologies","volume":"11","author":"Parchmann","year":"1975","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(81)90202-8_BIB10","doi-asserted-by":"crossref","first-page":"1344","DOI":"10.1090\/S0002-9939-1966-0217771-X","article-title":"Quasi-orderings and topologies on finite sets","volume":"17","author":"Sharp","year":"1966","journal-title":"Proc. AMS"},{"key":"10.1016\/0012-365X(81)90202-8_BIB11","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/0097-3165(71)90065-3","article-title":"On the number of open sets of finite topologies","volume":"10","author":"Stanley","year":"1971","journal-title":"J. Combinatorial Theory (A)"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X81902028?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X81902028?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T07:26:18Z","timestamp":1555140378000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X81902028"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981]]},"references-count":12,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1981]]}},"alternative-id":["0012365X81902028"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(81)90202-8","relation":{},"ISSN":["0012-365X"],"issn-type":[{"type":"print","value":"0012-365X"}],"subject":[],"published":{"date-parts":[[1981]]}}}