{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T01:00:39Z","timestamp":1776128439765,"version":"3.50.1"},"reference-count":15,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1983,3,1]],"date-time":"1983-03-01T00:00:00Z","timestamp":415324800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,9,11]],"date-time":"2013-09-11T00:00:00Z","timestamp":1378857600000},"content-version":"vor","delay-in-days":11152,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["European Journal of Combinatorics"],"published-print":{"date-parts":[[1983,3]]},"DOI":"10.1016\/s0195-6698(83)80003-1","type":"journal-article","created":{"date-parts":[[2013,9,11]],"date-time":"2013-09-11T07:34:29Z","timestamp":1378884869000},"page":"11-19","source":"Crossref","is-referenced-by-count":50,"title":["A Homotopy Complementation Formula for Partially Ordered Sets"],"prefix":"10.1016","volume":"4","author":[{"given":"Anders","family":"Bj\u00f6rner","sequence":"first","affiliation":[]},{"given":"James W.","family":"Walker","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0195-6698(83)80003-1_bib1","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/0001-8708(77)90073-1","article-title":"Galois connections and the Leray spectral sequence","volume":"25","author":"Baclawski","year":"1977","journal-title":"Advances in Math"},{"key":"10.1016\/S0195-6698(83)80003-1_bib2","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0001-8708(79)90045-8","article-title":"Fixed points in partially ordered sets","volume":"31","author":"Baclawski","year":"1979","journal-title":"Advances in Math"},{"key":"10.1016\/S0195-6698(83)80003-1_bib3","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/0097-3165(81)90030-3","article-title":"Fixed points and complements in finite lattices","volume":"30","author":"Baclawski","year":"1981","journal-title":"J. Combinatorial Theory Ser. A"},{"key":"10.1016\/S0195-6698(83)80003-1_bib4","series-title":"Amer. Math. Soc. Colloq. Publ. No. 25","article-title":"Lattice Theory","author":"Birkhoff","year":"1967"},{"key":"10.1016\/S0195-6698(83)80003-1_bib5","doi-asserted-by":"crossref","first-page":"159","DOI":"10.2307\/1999881","article-title":"Shellable and Cohen-Macaulay partially ordered sets","volume":"260","author":"Bj\u00f6rner","year":"1980","journal-title":"Trans. Amer. Math. Soc"},{"key":"10.1016\/S0195-6698(83)80003-1_bib6","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0097-3165(81)90042-X","article-title":"Homotopy type of posets and lattice complementation","volume":"30","author":"Bj\u00f6rner","year":"1981","journal-title":"J. Combinatorial Theory Ser. A"},{"key":"10.1016\/S0195-6698(83)80003-1_bib7","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1016\/S0021-9800(66)80009-1","article-title":"The M\u00f6bius function of a lattice","volume":"1","author":"Crapo","year":"1966","journal-title":"J. Combinatorial Theory"},{"key":"10.1016\/S0195-6698(83)80003-1_bib8","first-page":"631","article-title":"The homology groups of a lattice","volume":"15","author":"Folkman","year":"1966","journal-title":"J. Math. Mech"},{"key":"10.1016\/S0195-6698(83)80003-1_bib9","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0012-365X(71)90024-0","article-title":"The homology of a lattice","volume":"1","author":"Lakser","year":"1971","journal-title":"Discrete Math"},{"key":"10.1016\/S0195-6698(83)80003-1_bib10","series-title":"The topology of CW complexes","author":"Lundell","year":"1969"},{"key":"10.1016\/S0195-6698(83)80003-1_bib11","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/0001-8708(78)90058-0","article-title":"Homotopy properties of the poset of non-trivial p-subgroups of a group","volume":"28","author":"Quillen","year":"1978","journal-title":"Advances in Math"},{"key":"10.1016\/S0195-6698(83)80003-1_bib12","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1007\/BF00531932","article-title":"On the foundations of Combinatorial Theory I: Theory of M\u00f6bius functions","volume":"2","author":"Rota","year":"1964","journal-title":"Z. Wahrscheinlich-keitstheorie and Verw. Gebiete"},{"key":"10.1016\/S0195-6698(83)80003-1_bib13","series-title":"Algebraic Topology","author":"Spanier","year":"1966"},{"key":"10.1016\/S0195-6698(83)80003-1_bib14","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/BF02945028","article-title":"Supersolvable lattices","volume":"2","author":"Stanley","year":"1972","journal-title":"Algebra Universalis"},{"key":"10.1016\/S0195-6698(83)80003-1_bib15","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/S0195-6698(81)80045-5","article-title":"Homotopy type and Euler characteristic of partially ordered sets","volume":"2","author":"Walker","year":"1981","journal-title":"Europ. J. Combinatorics"}],"container-title":["European Journal of Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0195669883800031?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0195669883800031?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,10,13]],"date-time":"2018-10-13T05:25:48Z","timestamp":1539408348000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0195669883800031"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1983,3]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1983,3]]}},"alternative-id":["S0195669883800031"],"URL":"https:\/\/doi.org\/10.1016\/s0195-6698(83)80003-1","relation":{},"ISSN":["0195-6698"],"issn-type":[{"value":"0195-6698","type":"print"}],"subject":[],"published":{"date-parts":[[1983,3]]}}}