{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,23]],"date-time":"2026-08-23T18:06:23Z","timestamp":1787508383554,"version":"build-2736575974"},"reference-count":22,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1999,4,1]],"date-time":"1999-04-01T00:00:00Z","timestamp":922924800000},"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":5221,"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":[[1999,4]]},"DOI":"10.1016\/s0012-365x(98)00317-3","type":"journal-article","created":{"date-parts":[[2003,5,19]],"date-time":"2003-05-19T12:52:26Z","timestamp":1053348746000},"page":"157-170","source":"Crossref","is-referenced-by-count":1,"title":["The fractional dimension of subsets of Boolean lattices and of cartesian products"],"prefix":"10.1016","volume":"201","author":[{"given":"Utz","family":"Leimich","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Klaus","family":"Reuter","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/S0012-365X(98)00317-3_BIB1","article-title":"Dimension, join-independence and breadth in partially ordered sets","author":"Baker","year":"1961","journal-title":"Manuscript"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB2","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF01108597","article-title":"The dimension of suborders of the boolean lattice","volume":"11","author":"Brightwell","year":"1994","journal-title":"Order"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB3","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/BF00814406","article-title":"Fractional dimension of partial orders","volume":"9","author":"Brightwell","year":"1992","journal-title":"Order"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB4","first-page":"788","article-title":"Concerning a certain set of arrangements","volume":"1","author":"Dushnik","year":"1950"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB5","doi-asserted-by":"crossref","first-page":"600","DOI":"10.2307\/2371374","article-title":"Partially ordered sets","volume":"63","author":"Dushnik","year":"1941","journal-title":"Amer. J. Math."},{"key":"10.1016\/S0012-365X(98)00317-3_BIB6","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/0012-365X(94)00109-V","article-title":"On the fractional dimension of partially ordered sets","volume":"136","author":"Felsner","year":"1994","journal-title":"Discrete Math."},{"key":"10.1016\/S0012-365X(98)00317-3_BIB7","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/BF01462226","article-title":"The order dimension of two levels of the Boolean lattice","volume":"11","author":"F\u00fcredi","year":"1994","journal-title":"Order"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB8","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/BF01864160","article-title":"Matchings and covers in hypergraphs","volume":"4","author":"F\u00fcredi","year":"1988","journal-title":"Graphs Combin."},{"key":"10.1016\/S0012-365X(98)00317-3_BIB9","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/BF01462227","article-title":"The dimension of interior levels of the Boolean lattice","volume":"11","author":"Hurlbert","year":"1994","journal-title":"Order"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB10","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/0012-365X(81)90203-X","article-title":"On the dimension of partially ordered sets","volume":"35","author":"Kelly","year":"1981","journal-title":"Discrete Math."},{"key":"10.1016\/S0012-365X(98)00317-3_BIB11","first-page":"171","article-title":"Dimension theory for ordered sets","author":"Kelly","year":"1982"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB12","first-page":"219","article-title":"On the order dimension of 1-sets versus k-sets","volume":"73 A","author":"Kierstead","year":"1996","journal-title":"J. Combin. Theory"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB13","first-page":"1","article-title":"\u00dcber die fraktionale dimension partieller ordnungen","author":"Leimich","year":"1997"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB14","article-title":"An algorithm to generate saturated linear extensions","author":"Leimich","year":"1997","journal-title":"Manuscript"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB15","article-title":"Linear extensions of a poset as abstract convex sets","volume":"56","author":"Reuter","year":"1996","journal-title":"Preprint, Hamburger Beitr\u00e4ge zur Mathematik Heft"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB16","article-title":"The comparability graph and the graph of linear extensions of a poset","volume":"57","author":"Reuter","year":"1996","journal-title":"Preprint, Hamburger Beitr\u00e4ge zur Mathematik Heft"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB17","article-title":"On the linear-extension-diameter of a poset","volume":"61","author":"Felsner","year":"1997","journal-title":"Preprint, Hamburger Beitr\u00e4ge zur Mathematik Heft"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB18","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/BF00563528","article-title":"On the dimension of the cartesian product of relations and orders","volume":"6","author":"Reuter","year":"1989","journal-title":"Order"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB19","series-title":"Fractional Graph Theory","author":"Scheinerman","year":"1997"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB20","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/BF01896428","article-title":"Minimal scrambling sets of simple orders","volume":"22","author":"Spencer","year":"1971","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"10.1016\/S0012-365X(98)00317-3_BIB21","series-title":"Combinatorics and Partially Ordered Sets: Dimension Theory","author":"Trotter","year":"1992"},{"key":"10.1016\/S0012-365X(98)00317-3_BIB22","series-title":"Theory of Convex Structures","author":"Van de Vel","year":"1993"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X98003173?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X98003173?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T19:24:38Z","timestamp":1556652278000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0012365X98003173"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,4]]},"references-count":22,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1999,4]]}},"alternative-id":["S0012365X98003173"],"URL":"https:\/\/doi.org\/10.1016\/s0012-365x(98)00317-3","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1999,4]]}}}