{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T13:24:09Z","timestamp":1778851449741,"version":"3.51.4"},"reference-count":18,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2017,12,18]],"date-time":"2017-12-18T00:00:00Z","timestamp":1513555200000},"content-version":"vor","delay-in-days":17,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2017,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201600018-math-0001.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201600018:malq201600018-math-0001\"\/> be a separable metrizable space. We establish a criteria for the existence of a metrizable globalization for a given continuous partial action of a separable metrizable group <jats:italic>G<\/jats:italic> on <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201600018-math-0002.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201600018:malq201600018-math-0002\"\/>. If <jats:italic>G<\/jats:italic> and <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/malq201600018-math-0003.png\" xlink:title=\"urn:x-wiley:09425616:media:malq201600018:malq201600018-math-0003\"\/> are Polish spaces, we show that the globalization is also a Polish space. We also show the existence of an universal globalization for partial actions of Polish groups.<\/jats:p>","DOI":"10.1002\/malq.201600018","type":"journal-article","created":{"date-parts":[[2017,12,18]],"date-time":"2017-12-18T16:12:56Z","timestamp":1513613576000},"page":"481-490","source":"Crossref","is-referenced-by-count":10,"title":["Polish globalization of Polish group partial actions"],"prefix":"10.1002","volume":"63","author":[{"given":"Hector","family":"Pinedo","sequence":"first","affiliation":[{"name":"Escuela de Matem\u00e1ticas Universidad Industrial de Santander Cra. 27 Calle 9 Bucaramanga Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carlos","family":"Uzc\u00e1tegui","sequence":"additional","affiliation":[{"name":"Escuela de Matem\u00e1ticas Universidad Industrial de Santander Cra. 27 Calle 9 Bucaramanga Colombia"},{"name":"Centro Interdisciplinario de L\u00f3gica y \u00c1lgebra Departamento de Matem\u00e1ticas N\u00facleo Universitario Pedro Rinc\u00f3n Guti\u00e9rrez M\u00e9rida 5101 Venezuela"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2017,12,18]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-1236(02)00032-0"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511735264"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/537\/10573"},{"key":"e_1_2_7_5_1","volume-title":"General Topology, Revised and Completed Edition","author":"Engelking R.","year":"1989"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1006\/jfan.1994.1073"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01321306"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.7146\/math.scand.a-12566"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-98-04575-4"},{"issue":"1","key":"e_1_2_7_10_1","first-page":"169","article-title":"Partial dynamical systems and \u2010algebras generated by partialisometries","volume":"47","author":"Exel R.","year":"2002","journal-title":"J. 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