{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T14:33:13Z","timestamp":1763389993620,"version":"3.45.0"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2025,5,27]],"date-time":"2025-05-27T00:00:00Z","timestamp":1748304000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,5,27]],"date-time":"2025-05-27T00:00:00Z","timestamp":1748304000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Period Math Hung"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s10998-025-00651-3","type":"journal-article","created":{"date-parts":[[2025,5,27]],"date-time":"2025-05-27T02:47:26Z","timestamp":1748314046000},"page":"369-387","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Back and forth systems witnessing irreversibility"],"prefix":"10.1007","volume":"91","author":[{"given":"Milo\u0161 S.","family":"Kurili\u0107","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,5,27]]},"reference":[{"key":"651_CR1","doi-asserted-by":"crossref","unstructured":"U. Abraham, M. Magidor, Cardinal arithmetic. Handbook of set theory. Vol. 2, 1149\u20131227, Springer, Dordrecht, (2010)","DOI":"10.1007\/978-1-4020-5764-9_15"},{"key":"651_CR2","doi-asserted-by":"publisher","DOI":"10.1201\/9781439863466","volume-title":"Set theory","author":"T Bartoszynski","year":"1995","unstructured":"T. Bartoszynski, H. Judah, Set theory (On the structure of the real line. A K Peters Ltd, Wellesley, MA, 1995)"},{"issue":"3","key":"651_CR3","doi-asserted-by":"publisher","first-page":"604","DOI":"10.1016\/j.disc.2009.04.027","volume":"310","author":"PJ Cameron","year":"2010","unstructured":"P.J. Cameron, D.C. Lockett, Posets, homomorphisms and homogeneity. Discrete Math. 310(3), 604\u2013613 (2010)","journal-title":"Discrete Math."},{"key":"651_CR4","doi-asserted-by":"publisher","first-page":"129","DOI":"10.4064\/fm-49-2-129-141","volume":"49","author":"A Ehrenfeucht","year":"1961","unstructured":"A. Ehrenfeucht, An application of games to the completeness problem for formalized theories. Fund. Math. 49, 129\u2013141 (1961)","journal-title":"Fund. Math."},{"key":"651_CR5","unstructured":"R. Engelking, General topology. Second edition. Sigma Series in Pure Mathematics, 6. Heldermann Verlag, Berlin, (1989)"},{"key":"651_CR6","first-page":"35","volume":"1","author":"R Fra\u00efss\u00e9","year":"1954","unstructured":"R. Fra\u00efss\u00e9, Sur quelques classifications des syst\u00e8mes de relations. Publ. Sci. Univ. Alger. S\u00e9r. A. 1, 35\u2013182 (1954)","journal-title":"Publ. Sci. Univ. Alger. S\u00e9r. A."},{"key":"651_CR7","unstructured":"R. Fra\u00efss\u00e9, Sur quelques classifications des relations, bas\u00e9es sur des isomorphismes restreints. II. Application aux relations d\u2019ordre, et construction d\u2019exemples montrant que ces classifications sont distinctes, Publ. Sci. Univ. Alger. S\u00e9r. A. 2 273\u2013295 (1955)"},{"key":"651_CR8","unstructured":"E. Harzheim, Ordered sets. Advances in Mathematics (Springer), 7. Springer, New York, (2005)"},{"key":"651_CR9","doi-asserted-by":"publisher","first-page":"137","DOI":"10.7146\/math.scand.a-10601","volume":"8","author":"B J\u00f3nsson","year":"1960","unstructured":"B. J\u00f3nsson, Homogeneous universal relational systems. Math. Scand. 8, 137\u2013142 (1960)","journal-title":"Math. Scand."},{"key":"651_CR10","doi-asserted-by":"crossref","unstructured":"C. R. Karp, Finite-quantifier equivalence, 1965 Theory of Models (Proc. 1963 Internat. Sympos. Berkeley) pp. 407\u2013412 North-Holland, Amsterdam","DOI":"10.1016\/B978-0-7204-2233-7.50043-5"},{"key":"651_CR11","doi-asserted-by":"crossref","unstructured":"A. S. Kechris, Classical descriptive set theory. Graduate Texts in Mathematics, 156. Springer-Verlag, New York, (1995)","DOI":"10.1007\/978-1-4612-4190-4"},{"issue":"2","key":"651_CR12","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/s11083-009-9111-2","volume":"26","author":"M Kukiela","year":"2009","unstructured":"M. Kukiela, Reversible and bijectively related posets. Order 26(2), 119\u2013124 (2009)","journal-title":"Order"},{"key":"651_CR13","unstructured":"K. Kunen, Set theory. An introduction to independence proofs, Studies in Logic and the Foundations of Mathematics, 102. North-Holland Publishing Co., Amsterdam-New York, (1980)"},{"issue":"4","key":"651_CR14","doi-asserted-by":"publisher","first-page":"1422","DOI":"10.1017\/jsl.2017.60","volume":"82","author":"MS Kurili\u0107","year":"2017","unstructured":"M.S. Kurili\u0107, Retractions of reversible structures. J. Symb. Log. 82(4), 1422\u20131437 (2017)","journal-title":"J. Symb. Log."},{"issue":"5\u20136","key":"651_CR15","doi-asserted-by":"publisher","first-page":"565","DOI":"10.1007\/s00153-019-00703-9","volume":"59","author":"MS Kurili\u0107","year":"2020","unstructured":"M.S. Kurili\u0107, N. Mora\u010da, Reversibility of extreme relational structures. Arch. Math. Logic 59(5\u20136), 565\u2013582 (2020)","journal-title":"Arch. Math. Logic"},{"key":"651_CR16","doi-asserted-by":"crossref","unstructured":"M. S. Kurili\u0107, N. Mora\u010da, Reversibility of disconnected structures, Algebra Universalis 82,3 Paper No. 38, 17 pp (2021)","DOI":"10.1007\/s00012-021-00728-3"},{"issue":"1","key":"651_CR17","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/s11083-019-09493-4","volume":"37","author":"MS Kurili\u0107","year":"2020","unstructured":"M.S. Kurili\u0107, N. Mora\u010da, Reversible disjoint unions of well orders and their inverses. Order 37(1), 73\u201381 (2020)","journal-title":"Order"},{"key":"651_CR18","unstructured":"M. S. Kurili\u0107, N. Mora\u010da, Reversible sequences of cardinals, reversible equivalence relations, and similar structures, https:\/\/arxiv.org\/abs\/1709.09492"},{"key":"651_CR19","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1017\/S1446788700004705","volume":"6","author":"M Rajagopalan","year":"1966","unstructured":"M. Rajagopalan, A. Wilansky, Reversible topological spaces. J. Austral. Math. Soc. 6, 129\u2013138 (1966)","journal-title":"J. Austral. Math. Soc."},{"issue":"3","key":"651_CR20","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1007\/BF02488043","volume":"9","author":"JH Schmerl","year":"1979","unstructured":"J.H. Schmerl, Countable homogeneous partially ordered sets. Algebra Universalis 9(3), 317\u2013321 (1979)","journal-title":"Algebra Universalis"}],"container-title":["Periodica Mathematica Hungarica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-025-00651-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10998-025-00651-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10998-025-00651-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T14:30:24Z","timestamp":1763389824000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10998-025-00651-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,27]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["651"],"URL":"https:\/\/doi.org\/10.1007\/s10998-025-00651-3","relation":{},"ISSN":["0031-5303","1588-2829"],"issn-type":[{"type":"print","value":"0031-5303"},{"type":"electronic","value":"1588-2829"}],"subject":[],"published":{"date-parts":[[2025,5,27]]},"assertion":[{"value":"18 February 2025","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 May 2025","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}