20.500.12556/RUL-111421 Mathias forcing and combinatorial covering properties of filters We give topological characterizations of filters ▫$\mathcal{F}$▫ on ▫$w$▫ such that the Mathias forcing ▫$M_\mathcal{F}$▫ adds no dominating reals or preserves ground model unbounded families. This allows us to answer some questions of Brendle, Guzmán, Hrušák, Martínez, Minami, and Tsaban. mathematics topology Menger space Hurewicz space $\gamma$-space filter ideal Mathias forcing matematika topologija topološki prostori filter ideal true false true Angleški jezik Slovenski jezik Članek v reviji 2019-09-30 14:27:31 2019-09-30 14:27:32 2022-08-23 03:42:57 0000-00-00 00:00:00 2015 0 0 Str. 1398-1410 no. 4 Vol. 80 2015 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.122:510.3 0022-4812 http://dx.doi.org/10.1017/jsl.2014.73 17556057 25795584 RAZ_Chodounsky_David_i2015.pdf RAZ_Chodounsky_David_i2015.pdf 1 9DD9E8FC4ADF1B896DC9DB289681D9D3 6748157ffcea6bf487f39803a2182626272566d29b97837ca485eb3da8a50e33 61fe7cda-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=123266 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0