{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T14:47:00Z","timestamp":1648824420517},"reference-count":9,"publisher":"Canadian Mathematical Society","issue":"3","license":[{"start":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T00:00:00Z","timestamp":1542672000000},"content-version":"unspecified","delay-in-days":12864,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Can. math. bull."],"published-print":{"date-parts":[[1983,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Recently Goodman and Pollack [3] have proved a theorem which can be applied to encode in a compact form the order properties of an arbitrary configuration of points in \u211d<jats:sup>d<\/jats:sup>. In this note we generalise this theorem to oriented matroids.<\/jats:p>","DOI":"10.4153\/cmb-1983-059-x","type":"journal-article","created":{"date-parts":[[2010,12,7]],"date-time":"2010-12-07T23:25:35Z","timestamp":1291764335000},"page":"351-354","source":"Crossref","is-referenced-by-count":2,"title":["Oriented Matroids and Geometric Sorting"],"prefix":"10.4153","volume":"26","author":[{"given":"Raul","family":"Cordovil","sequence":"first","affiliation":[]}],"member":"2643","published-online":{"date-parts":[[2018,11,20]]},"reference":[{"key":"S0008439500063815_ref007","first-page":"263","volume-title":"Actes du Colloque International C.N.R.S","author":"Las Vergnas","year":"1976"},{"key":"S0008439500063815_ref006","first-page":"283","volume-title":"J. Combinatorial Theory B","volume":"25","author":"Las Vergnas","year":"1978"},{"key":"S0008439500063815_ref005","first-page":"231","volume-title":"J. Combinatorial Theory B","volume":"29","author":"Las Vergnas","year":"1980"},{"key":"S0008439500063815_ref004","first-page":"61","article-title":"Matro\u00efdes orientables","volume":"280","author":"Las Vergnas","year":"1975","journal-title":"C.R. Acad. Sci. Paris S\u00e9r. A"},{"key":"S0008439500063815_ref003","volume-title":"Multidimensional sorting, preprint","author":"Goodman"},{"key":"S0008439500063815_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(78)90039-4"},{"key":"S0008439500063815_ref008","volume-title":"Oriented matroids and multiply ordered sets, to appear in Linear Algebra and its Applications","author":"Lawrence"},{"key":"S0008439500063815_ref009","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1965.15.1337"},{"key":"S0008439500063815_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(78)90080-1"}],"container-title":["Canadian Mathematical Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0008439500063815","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T22:36:18Z","timestamp":1558650978000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0008439500063815\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1983,9,1]]},"references-count":9,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1983,9,1]]}},"alternative-id":["S0008439500063815"],"URL":"https:\/\/doi.org\/10.4153\/cmb-1983-059-x","relation":{},"ISSN":["0008-4395","1496-4287"],"issn-type":[{"value":"0008-4395","type":"print"},{"value":"1496-4287","type":"electronic"}],"subject":[],"published":{"date-parts":[[1983,9,1]]}}}