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 reviji111421UDK: 515.122:510.3ISSN pri članku: 0022-4812DOI: http://dx.doi.org/10.1017/jsl.2014.73COBISS_ID: 17556057OceCobissID: 25795584sl