{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T15:32:55Z","timestamp":1747150375085,"version":"3.40.5"},"reference-count":17,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2023,5,28]],"date-time":"2023-05-28T00:00:00Z","timestamp":1685232000000},"content-version":"vor","delay-in-days":116,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We investigate two variants of splitting tree forcing, their ideals and regularity properties. We prove connections with other well\u2010known notions, such as Lebesgue measurablility, Baire\u2010 and Doughnut\u2010property and the Marczewski field. Moreover, we prove that any <jats:italic>absolute<\/jats:italic> amoeba forcing for splitting trees necessarily adds a dominating real, providing more support to Hein's and Spinas' conjecture that .<\/jats:p>","DOI":"10.1002\/malq.202200022","type":"journal-article","created":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T04:56:20Z","timestamp":1685336180000},"page":"15-30","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On splitting trees"],"prefix":"10.1002","volume":"69","author":[{"given":"Giorgio","family":"Laguzzi","sequence":"first","affiliation":[{"name":"Universit\u00e0 del Piemonte Orientale Italy"}]},{"given":"Heike","family":"Mildenberger","sequence":"additional","affiliation":[{"name":"Albert\u2010Ludwigs\u2010Universit\u00e0 Freiburg Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6402-1431","authenticated-orcid":false,"given":"Brendan","family":"Stuber\u2010Rousselle","sequence":"additional","affiliation":[{"name":"Albert\u2010Ludwigs\u2010Universit\u00e0 Freiburg Germany"}]}],"member":"311","published-online":{"date-parts":[[2023,5,28]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.4064\/fm-148-1-1-25"},{"key":"e_1_2_9_3_1","first-page":"109","volume-title":"Logic Colloquium '98","author":"Brendle J.","year":"2000"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.2307\/2586632"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004104008187"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.2307\/2586548"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-019-00694-7"},{"key":"e_1_2_9_8_1","first-page":"385","article-title":"On Shelah's amalgamation","volume":"6","author":"Judah H.","year":"1993","journal-title":"Israel Math. 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