{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:30:53Z","timestamp":1759638653912,"version":"3.41.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,5,29]],"date-time":"2018-05-29T00:00:00Z","timestamp":1527552000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2019,7]]},"DOI":"10.1007\/s11083-018-9460-9","type":"journal-article","created":{"date-parts":[[2018,5,29]],"date-time":"2018-05-29T08:50:11Z","timestamp":1527583811000},"page":"159-197","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Orthogonal Countable Linear Orders"],"prefix":"10.1007","volume":"36","author":[{"given":"Christian","family":"Delhomm\u00e9","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,5,29]]},"reference":[{"key":"9460_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.disc.2005.06.016","volume":"300","author":"M Albert","year":"2005","unstructured":"Albert, M., Atkinson, M.: Simple permutations and pattern restricted permutations. Discret. Math. 300, 1\u201315 (2005)","journal-title":"Discret. Math."},{"key":"9460_CR2","first-page":"Article 03.4.4","volume":"6","author":"M Albert","year":"2003","unstructured":"Albert, M., Atkinson, M., Klazar, M.: The enumeration of simple permutations. J. Integ. Seq. 6, Article 03.4.4 (2003)","journal-title":"J. Integ. Seq."},{"key":"9460_CR3","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1007\/s11083-010-9193-x","volume":"28","author":"G Bezhanishvili","year":"2011","unstructured":"Bezhanishvili, G., Morandi, P.J.: Order-compactifications of totally ordered spaces: Revisited. Order 28, 577\u2013592 (2011)","journal-title":"Order"},{"key":"9460_CR4","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/0021-9045(75)90014-3","volume":"13","author":"J Blatter","year":"1975","unstructured":"Blatter, J.: Order compactifications of totally ordered topological spaces. J. Approxi. Theory 13, 56\u201365 (1975)","journal-title":"J. Approxi. Theory"},{"key":"9460_CR5","first-page":"41","volume-title":"A Survey of Simple Permutations. Permutation Patterns. London Math. Soc. Lecture Note, Ser., vol. 376","author":"R Brignall","year":"2010","unstructured":"Brignall, R.: A Survey of Simple Permutations. Permutation Patterns. London Math. Soc. Lecture Note, Ser., vol. 376, pp. 41\u201365. Cambridge Univ. Press, Cambridge (2010)"},{"key":"9460_CR6","doi-asserted-by":"publisher","first-page":"1885","DOI":"10.1016\/j.disc.2018.03.011","volume":"341","author":"C Delhomm\u00e9","year":"2018","unstructured":"Delhomm\u00e9, C., Zaguia, I.: Countable linear orders with disjoint infinite intervals are mutually orthogonal. Discret. Math. 341, 1885\u20131899 (2018)","journal-title":"Discret. Math."},{"key":"9460_CR7","doi-asserted-by":"crossref","unstructured":"Demetrovics, J., Miyakawa, M., Rosenberg, I., Simovici, D., Stojmenovi\u0107, I.: Intersections of isotone clones on a finite set. In: Proc. 20th Internat. Symp. Multiple-valued Logic Charlotte, NC, pp. 248\u2013253 (1990)","DOI":"10.1109\/ISMVL.1990.122629"},{"issue":"Szeged","key":"9460_CR8","first-page":"217","volume":"10","author":"J Demetrovics","year":"1992","unstructured":"Demetrovics, J., Ronyai, L.: A note on intersections of isotone clones. Acta Cyberniteca 10(Szeged), 217\u2013220 (1992)","journal-title":"Acta Cyberniteca"},{"key":"9460_CR9","doi-asserted-by":"crossref","unstructured":"Ehrenfeucht, A., Harju, T., Rozenberg, G.: The Theory of 2-Structures: A Framework for Decomposition and Transformation. World Scientific (1999)","DOI":"10.1142\/4197"},{"key":"9460_CR10","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1007\/BF01208415","volume":"10","author":"V Fedorcuk","year":"1969","unstructured":"Fedorcuk, V.: Some questions on the theory of ordered spaces. Sib. Math. J. 10, 124\u2013132 (1969)","journal-title":"Sib. Math. J."},{"key":"9460_CR11","doi-asserted-by":"crossref","unstructured":"Fra\u00efss\u00e9, R.: L\u2019intervalle en th\u00e9orie des relations ; ses g\u00e9n\u00e9ralisations ; filtre intervallaire et cl\u00f4ture d\u2019une relation. (French) [The interval in relation theory; its generalizations; interval filter and closure of a relation]. Orders: Description and roles. (L\u2019Arbresle, 1982), 313\u2013341, North-Holland Math. Stud., 99. North-Holland, Amsterdam (1984)","DOI":"10.1016\/S0304-0208(08)73829-5"},{"key":"9460_CR12","doi-asserted-by":"publisher","first-page":"35","DOI":"10.4064\/cm-17-1-35-39","volume":"17","author":"R Kaufman","year":"1967","unstructured":"Kaufman, R.: Ordered sets and compact spaces. Colloq. Math. 17, 35\u201339 (1967)","journal-title":"Colloq. Math."},{"issue":"4","key":"9460_CR13","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1155\/S0161171288000833","volume":"11","author":"DC Kent","year":"1988","unstructured":"Kent, D.C., Richmond, T.A.: Ordered compactification of totally ordered spaces. Internat. J. Math. Math Sci. 11(4), 683\u2013694 (1988)","journal-title":"Internat. J. Math. Math Sci."},{"key":"9460_CR14","first-page":"376","volume-title":"Some General Results in Combinatorial Enumeration. Permutation Patterns, 3\u201340, London Math. Soc Lecture Note Ser.","author":"M Klazar","year":"2010","unstructured":"Klazar, M.: Some General Results in Combinatorial Enumeration. Permutation Patterns, 3\u201340, London Math. Soc Lecture Note Ser., p 376. Cambridge Univ. Press, Cambridge (2010)"},{"key":"9460_CR15","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/j.disc.2014.07.005","volume":"335","author":"C Laflamme","year":"2014","unstructured":"Laflamme, C., Pouzet, M., Sauer, N., Zaguia, I.: Pairs of orthogonal countable ordinals. Discr. Math. 335, 35\u201344 (2014)","journal-title":"Discr. Math."},{"key":"9460_CR16","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1016\/0022-4049(84)90048-3","volume":"2","author":"F L\u00e4nger","year":"1984","unstructured":"L\u00e4nger, F., P\u00f6schel, R.: Relational systems with trivial endomorphisms and polymorphisms. J. Pure Appl. Algebra 2, 129\u2013142 (1984)","journal-title":"J. Pure Appl. Algebra"},{"issue":"1","key":"9460_CR17","doi-asserted-by":"publisher","first-page":"89","DOI":"10.2307\/1970754","volume":"93","author":"R Laver","year":"1971","unstructured":"Laver, R.: On Fra\u00efss\u00e9\u2019s order type conjecture. Ann. Math. 93(1), 89\u2013111 (1971)","journal-title":"Ann. Math."},{"key":"9460_CR18","doi-asserted-by":"publisher","first-page":"96","DOI":"10.2307\/1970907","volume":"98","author":"R Laver","year":"1973","unstructured":"Laver, R.: An order type decomposition theorem. Ann. of Math. 98, 96\u2013119 (1973)","journal-title":"Ann. of Math."},{"key":"9460_CR19","unstructured":"Mac Lane, S.: Categories for the working mathematician. 2nd ed. Springer (1997)"},{"key":"9460_CR20","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1016\/j.jcta.2004.04.002","volume":"107","author":"A Marcus","year":"2004","unstructured":"Marcus, A., Tard\u00f6s, G.: Excluded permutation matrices and the Stanley-Wilf conjecture. J. Combin. Theory Ser. Excluded Permut. A 107, 153\u2013160 (2004)","journal-title":"J. Combin. Theory Ser. Excluded Permut. A"},{"key":"9460_CR21","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/0195-6698(95)90091-8","volume":"16","author":"M Miyakawa","year":"1995","unstructured":"Miyakawa, M., Nozaki, A., Pogosyan, G., Rosenberg, I.G.: The number of orthogonal permutations. Europ. J. Comb. 16, 71\u201385 (1995)","journal-title":"Europ. J. Comb."},{"key":"9460_CR22","unstructured":"Nachbin, L.: Topology and Order. Van Nostrand Mathematical Studies, No. 4. Princeton (1965)"},{"key":"9460_CR23","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1007\/BF01203365","volume":"18","author":"P P\u00e1lfy","year":"1984","unstructured":"P\u00e1lfy, P.: Unary polynomial in algebra I. Algebra Universalis 18, 162\u2013173 (1984)","journal-title":"Algebra Universalis"},{"key":"9460_CR24","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/BF00565651","volume":"1","author":"M Pouzet","year":"1984","unstructured":"Pouzet, M., Zaguia, N.: Ordered sets with no chains of ideals of a given type. Order 1, 159\u2013172 (1984)","journal-title":"Order"},{"issue":"1\u20133","key":"9460_CR25","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1016\/0012-365X(93)E0132-N","volume":"137","author":"I Rival","year":"1995","unstructured":"Rival, I., Zaguia, N.: Perpendicular orders. Discrete Math. 137(1\u20133), 303\u2013313 (1995)","journal-title":"Discrete Math."},{"key":"9460_CR26","unstructured":"Rosenstein, J.G.: Linear Orderings. Academic Press (1982)"},{"key":"9460_CR27","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/s11083-010-9176-y","volume":"28","author":"N Sauer","year":"2011","unstructured":"Sauer, N., Zaguia, I.: The order on the rationals has an orthogonal order with the same order type. Order 28, 377\u2013385 (2011)","journal-title":"Order"},{"key":"9460_CR28","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1006\/eujc.1998.0214","volume":"19","author":"I Zaguia","year":"1998","unstructured":"Zaguia, I.: Prime two-dimensional orders and perpendicular total orders. Europ. J. Comb. 19, 639\u2013649 (1998)","journal-title":"Europ. J. Comb."}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11083-018-9460-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-018-9460-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-018-9460-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T20:32:19Z","timestamp":1751661139000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11083-018-9460-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,29]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,7]]}},"alternative-id":["9460"],"URL":"https:\/\/doi.org\/10.1007\/s11083-018-9460-9","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"type":"print","value":"0167-8094"},{"type":"electronic","value":"1572-9273"}],"subject":[],"published":{"date-parts":[[2018,5,29]]},"assertion":[{"value":"23 September 2015","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 May 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 May 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}