{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T00:11:21Z","timestamp":1773447081600,"version":"3.50.1"},"reference-count":20,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":5430,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show a faithful restriction theorem among infinite chains which implies a reconstructibility conjecture of Halin. This incite us to study the reconstructibility in the sense of Fra\u00efss\u00e9 and to prove it for orders of cardinality infinite or \u2265 3 and for multirelations of cardinality infinite or \u2265 7, what improves the theory obtained by G. Lopez in the finite case. For this work we had to study the infinite classes of difference which have to be a linear order of type \u03c9, \u03c9* or \u03c9* + \u03c9; this complete the theory made by G. Lopez for the finite case ([13]). We show also Ulam\u2010reconstructibility for linear orders which have a fixed point.<\/jats:p>","DOI":"10.1002\/malq.19920380143","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T05:48:50Z","timestamp":1180417730000},"page":"457-490","source":"Crossref","is-referenced-by-count":6,"title":["RESTRICTION RESPECTUEUSE ET RECONSTRUCTION DES CHAINES ET DES RELATIONS INFINITES"],"prefix":"10.1002","volume":"38","author":[{"given":"Jean Guillaume","family":"Hagendorf","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. G.","family":"Hagendorf","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190010306"},{"key":"e_1_2_1_3_2","unstructured":"Bonnet R. Alg\u00e8bres de Boole rigides. Th\u00e8se Lyon I 1978."},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(72)90026-3"},{"key":"e_1_2_1_5_2","unstructured":"Fra\u00efss\u00e9 R. andG.Lopez La reconstruction d'une relation dans l'hypoth\u00e8se forte: Isomorphie des restrictions \u00e0 chaque partie stricte. Les Presses de l'Universit\u00e9 de Montr\u00e9al no. 109 1990."},{"key":"e_1_2_1_6_2","volume-title":"Theory of Relations","author":"Fra\u00efss\u00e9 R.","year":"1986"},{"key":"e_1_2_1_7_2","first-page":"313","volume-title":"Orders: Descriptions and Roles","author":"Fra\u00efss\u00e9 R.","year":"1984"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.2307\/1990816"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.2307\/1993034"},{"key":"e_1_2_1_10_2","first-page":"423","article-title":"Extensions respectueuses de cha\u00eenes","volume":"25","author":"Hagendorf J. G.","year":"1979","journal-title":"Cette Zeitschrift"},{"key":"e_1_2_1_11_2","first-page":"15","article-title":"Extensions imm\u00e9diates de cha\u00eenes","volume":"28","author":"Hagendorf J. G.","year":"1982","journal-title":"Cette Zeitschrift"},{"key":"e_1_2_1_12_2","first-page":"193","article-title":"Sur la reconstruction des ordres totaux","volume":"34","author":"Hagendorf J. G.","year":"1988","journal-title":"Cette Zeitschrift"},{"key":"e_1_2_1_13_2","unstructured":"Lopez G. Probl\u00e8mes de reconstruction en th\u00e9orie des relations. Th\u00e8se de doctorat d'\u00e9tat Marseille1982."},{"key":"e_1_2_1_14_2","first-page":"303","article-title":"Ind\u00e9formabilit\u00e9 des relations et multirelations binaires","volume":"24","author":"Lopez G.","year":"1978","journal-title":"Cette Zeitschrift"},{"key":"e_1_2_1_15_2","first-page":"27","article-title":"Reconstruction of binary relations from their restrictions of cardinality 2, 3, 4 and (n \u2014 1)","volume":"38","author":"Lopez G.","year":"1992","journal-title":"This Zeitschrift"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01215230"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(79)90039-X"},{"key":"e_1_2_1_18_2","volume-title":"Linear Orderings","author":"Rosenstein J. G.","year":"1982"},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01894511"},{"key":"e_1_2_1_20_2","doi-asserted-by":"crossref","first-page":"253","DOI":"10.4064\/fm-37-1-253-264","article-title":"Types d'ordres des ensembles lin\u00e9aires","volume":"87","author":"Sierpi\u0144ski W.","year":"1950","journal-title":"Fund. 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