Mathias forcing and combinatorial covering properties of filtersChodounský, David (Avtor) Repovš, Dušan (Avtor) Zdomskyy, Lyubomyr (Avtor) mathematicstopologyMenger spaceHurewicz space$\gamma$-spacefilteridealMathias forcingWe 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.20152019-09-30 14:27:31Članek v reviji111421sl