20.500.12556/RUL-142141 On well-splitting posets We introduce a class of proper posets which is preserved under countable support iterations, includes ▫$\omega^\omega$▫-bounding, Cohen, Miller, and Mathias posets associated to filters with the Hurewicz covering properties, and has the property that the ground model reals remain splitting and unbounded in corresponding extensions. Our results may be considered as a possible path towards solving variations of the famous Roitman problem. splitting bounding Miller forcing filter Hurewicz space mad family Roitman problem true false true Angleški jezik Ni določen Članek v reviji 2022-10-21 08:45:22 2022-10-21 08:45:24 2022-10-22 03:57:52 0000-00-00 00:00:00 2022 0 0 Str. 995-1005 iss. 7-8 Vol. 61 Nov. 2022 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2023-03-08 510.327:515.122 0933-5846 10.1007/s00153-022-00818-6 101041411 RAZ_Repovs_Dusan_2022.pdf RAZ_Repovs_Dusan_2022.pdf 1 1749D2BC1B9FE1051D07778520A3620A 42d92efa6807e7a871fc2d57896dcc56dd4fc0ec8a55e72449d9b08c44bdd095 4b6ebe4a-510c-11ed-9c94-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=163417 https://link.springer.com/article/10.1007/s00153-022-00818-6 1 e1c50229-510b-11ed-9c94-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=163416 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0