{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,18]],"date-time":"2024-03-18T16:25:02Z","timestamp":1710779102296},"reference-count":21,"publisher":"Duke University Press","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Notre Dame J. Formal Logic"],"published-print":{"date-parts":[[2020,5,1]]},"DOI":"10.1215\/00294527-2020-0008","type":"journal-article","created":{"date-parts":[[2020,4,8]],"date-time":"2020-04-08T02:01:21Z","timestamp":1586311281000},"source":"Crossref","is-referenced-by-count":1,"title":["Isometry Groups of Borel Randomizations"],"prefix":"10.1215","volume":"61","author":[{"given":"Alexander","family":"Berenstein","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rafael","family":"Zamora","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"73","reference":[{"key":"9","unstructured":"[9] Ka\u00efchouh, A., \u201cVariations on automatic continuity,\u201d preprint, <a href=\"http:\/\/math.univ-lyon1.fr\/homes-www\/kaichouh\/Variations%20on%20automatic%20continuity.pdf\">http:\/\/math.univ-lyon1.fr\/homes-www\/kaichouh\/Variations%20on%20automatic%20continuity.pdf<\/a>."},{"key":"19","doi-asserted-by":"publisher","unstructured":"[19] Truss, J. K., \u201cGeneric automorphisms of homogeneous structures,\u201d <i>Proceedings of the London Mathematical Society (3)<\/i>, vol. 65 (1992), pp. 121\u201341.","DOI":"10.1112\/plms\/s3-65.1.121"},{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] Ben Yaacov, I., \u201cContinuous and random Vapnik\u2013Chervonenkis classes,\u201d <i>Israel Journal of Mathematics<\/i>, vol. 173 (2009), pp. 309\u201333.","DOI":"10.1007\/s11856-009-0094-x"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] Ben Yaacov, I., A. Berenstein, and J. Melleray, \u201cPolish topometric groups,\u201d <i>Transactions of the American Mathematical Society<\/i>, vol. 365 (2013), pp. 3877\u201397.","DOI":"10.1090\/S0002-9947-2013-05773-X"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] Ben Yaacov, I., and H. J. Keisler, \u201cRandomizations of models as metric structures,\u201d <i>Confluentes Mathematici<\/i>, vol. 1 (2009), pp. 197\u2013223.","DOI":"10.1142\/S1793744209000080"},{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] Giordano, T., and V. Pestov, \u201cSome extremely amenable groups,\u201d <i>Comptes Rendus Math\u00e9matique, Acad\u00e9mie des Sciences, Paris<\/i>, vol. 334 (2002), pp 273\u201378.","DOI":"10.1016\/S1631-073X(02)02218-5"},{"key":"5","unstructured":"[5] Halmos, P. R., <i>Lectures on Ergodic Theory<\/i>, Chelsea, New York, 1960."},{"key":"6","doi-asserted-by":"publisher","unstructured":"[6] Hodges, W., I. Hodkinson, D. Lascar, and S. Shelah, \u201cThe small index property for $\\omega $-stable $\\omega $-categorical structures and for the random graph,\u201d <i>Journal of the London Mathematical Society (2)<\/i>, vol. 48 (1993), pp. 204\u201318.","DOI":"10.1112\/jlms\/s2-48.2.204"},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] Hrushovski, E., \u201cExtending partial isomorphisms of graphs,\u201d <i>Combinatorica<\/i>, vol. 12 (1992), pp. 411\u201316.","DOI":"10.1007\/BF01305233"},{"key":"8","doi-asserted-by":"crossref","unstructured":"[8] Ibarluc\u00eda, T., \u201cAutomorphism groups of randomized structures,\u201d <i>Journal of Symbolic Logic<\/i>, vol. 82 (2017), pp. 1150\u201379.","DOI":"10.1017\/jsl.2017.2"},{"key":"10","doi-asserted-by":"crossref","unstructured":"[10] Ka\u00efchouh, A., and F. Le Ma\u00eetre, \u201cConnected Polish groups with ample generics,\u201d <i>Bulletin of the London Mathematical Society<\/i>, vol. 47 (2015), pp. 996\u20131009.","DOI":"10.1112\/blms\/bdv078"},{"key":"11","doi-asserted-by":"publisher","unstructured":"[11] Kechris, A. S., and C. Rosendal, \u201cTurbulence, amalgamation, and generic automorphisms of homogeneous structures,\u201d <i>Proceedings of the London Mathematical Society (3)<\/i>, vol. 94 (2007), pp. 302\u201350.","DOI":"10.1112\/plms\/pdl007"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] Kwiatkowska, A., and M. Malicki, \u201cAutomorphism groups of countable structures and groups of measurable functions,\u201d <i>Israel Journal of Mathematics<\/i>, vol. 230 (2019), pp. 335\u201360.","DOI":"10.1007\/s11856-018-1825-7"},{"key":"13","doi-asserted-by":"publisher","unstructured":"[13] Malicki, M., \u201cConsequences of the existence of ample generics and automorphism groups of homogeneous metric structures,\u201d <i>Journal of Symbolic Logic<\/i>, vol. 81 (2016), pp. 876\u201386.","DOI":"10.1017\/jsl.2015.73"},{"key":"14","doi-asserted-by":"publisher","unstructured":"[14] Moore, C. C., \u201cGroup extensions and cohomology for locally compact groups, IV,\u201d <i>Transactions of the American Mathematical Society<\/i>, vol. 221 (1976), pp. 35\u201358.","DOI":"10.1090\/S0002-9947-1976-0414776-1"},{"key":"15","doi-asserted-by":"crossref","unstructured":"[15] Pestov, V., <i>Dynamics of Infinite-Dimensional Groups: The Ramsey\u2013Dvoretzky\u2013Milman Phenomenon<\/i>, vol. 40 of <i>University Lecture Series<\/i>, American Mathematical Society, Providence, 2006.","DOI":"10.1090\/ulect\/040\/02"},{"key":"16","doi-asserted-by":"publisher","unstructured":"[16] Pestov, V., and F. M. Schneider, \u201cOn amenability and groups of measurable maps,\u201d <i>Journal of Functional Analysis<\/i>, vol. 273 (2017), pp. 3859\u201374.","DOI":"10.1016\/j.jfa.2017.09.011"},{"key":"17","doi-asserted-by":"publisher","unstructured":"[17] Sabok, M., \u201cAutomatic continuity for isometry groups,\u201d <i>Journal of the Institute of Mathematics of Jussieu<\/i>, vol. 18 (2019), pp. 561\u201390.","DOI":"10.1017\/S1474748017000135"},{"key":"18","doi-asserted-by":"publisher","unstructured":"[18] Solecki, S., \u201cExtending partial isometries,\u201d <i>Israel Journal of Mathematics<\/i>, vol. 150 (2005), pp. 315\u201331.","DOI":"10.1007\/BF02762385"},{"key":"20","doi-asserted-by":"publisher","unstructured":"[20] Vershik, A. M., \u201cGlobalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space,\u201d <i>Topology and Its Applications<\/i>, vol. 155 (2008), 1618\u201326.","DOI":"10.1016\/j.topol.2008.03.007"},{"key":"21","doi-asserted-by":"crossref","unstructured":"[21] Wheeden, R. L., and A. Zygmund, <i>Measure and Integral: An Introduction to Real Analysis<\/i>, 2nd edition, CRC Press, Boca Raton, FL, 2015.","DOI":"10.1201\/b18361"}],"container-title":["Notre Dame Journal of Formal Logic"],"original-title":[],"link":[{"URL":"https:\/\/projecteuclid.org\/journalArticle\/Download?urlid=10.1215\/00294527-2020-0008","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T21:00:13Z","timestamp":1706648413000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/notre-dame-journal-of-formal-logic\/volume-61\/issue-2\/Isometry-Groups-of-Borel-Randomizations\/10.1215\/00294527-2020-0008.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,1]]},"references-count":21,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2020,5,1]]}},"URL":"https:\/\/doi.org\/10.1215\/00294527-2020-0008","relation":{},"ISSN":["0029-4527"],"issn-type":[{"value":"0029-4527","type":"print"}],"subject":[],"published":{"date-parts":[[2020,5,1]]}}}