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  1.  16
    Mathias Forcing and Combinatorial Covering Properties of Filters.David Chodounský, Dušan Repovš & Lyubomyr Zdomskyy - 2015 - Journal of Symbolic Logic 80 (4):1398-1410.
    We give topological characterizations of filters${\cal F}$onωsuch that the Mathias forcing${M_{\cal F}}$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.
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  2.  17
    Free Sequences in $${Mathscr {P}}Left /Text {Fin}$$ P Ω / Fin.David Chodounský, Vera Fischer & Jan Grebík - 2019 - Archive for Mathematical Logic 58 (7-8):1035-1051.
    We investigate maximal free sequences in the Boolean algebra \ {/}\text {fin}\), as defined by Monk :593–610, 2011). We provide some information on the general structure of these objects and we are particularly interested in the minimal cardinality of a free sequence, a cardinal characteristic of the continuum denoted \. Answering a question of Monk, we demonstrate the consistency of \. In fact, this consistency is demonstrated in the model of Shelah for \ :433–443, 1992). Our paper provides a streamlined (...)
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  3.  11
    Free sequences in $${\mathscr {P}}\left( \omega \right) /\text {fin}$$.David Chodounský, Vera Fischer & Jan Grebík - 2019 - Archive for Mathematical Logic 58 (7):1035-1051.
    We investigate maximal free sequences in the Boolean algebra \ {/}\text {fin}\), as defined by Monk :593–610, 2011). We provide some information on the general structure of these objects and we are particularly interested in the minimal cardinality of a free sequence, a cardinal characteristic of the continuum denoted \. Answering a question of Monk, we demonstrate the consistency of \. In fact, this consistency is demonstrated in the model of Shelah for \ :433–443, 1992). Our paper provides a streamlined (...)
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    Free sequences in $${mathscr {P}}left /text {fin}$$ P ω / fin.David Chodounský, Vera Fischer & Jan Grebík - 2019 - Archive for Mathematical Logic 58 (7):1035-1051.
    We investigate maximal free sequences in the Boolean algebra \ {/}\text {fin}\), as defined by Monk :593–610, 2011). We provide some information on the general structure of these objects and we are particularly interested in the minimal cardinality of a free sequence, a cardinal characteristic of the continuum denoted \. Answering a question of Monk, we demonstrate the consistency of \. In fact, this consistency is demonstrated in the model of Shelah for \ :433–443, 1992). Our paper provides a streamlined (...)
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  5.  6
    Why Y-C.C.David Chodounský & Jindřich Zapletal - 2015 - Annals of Pure and Applied Logic 166 (11):1123-1149.
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