Almost disjointness and its generalizations
FLAŠKOVÁ, J. Almost disjointness and its generalizations. Krakow, Polsko, 2012.
|Anglický název:||Almost disjointness and its generalizations|
|Autoři:||RNDr. Jana Flašková Ph.D.|
|Abstrakt EN:||Recently, some modifications of the almost disjointness number a with respect to a given ideal I were introduced and a new cardinal characteristic was defined --- a(I), the minimal cardinality of a maximal I-almost disjoint family. We investigate a(I) in the case I = W, where W is the van der Waerden ideal which consists of the sets which do not contain arbitrarily long arithmetic progressions. We prove, in particular, that a(W) is less than or equal to the almost disjointness number a and greater than or equal to the pseudointersection number p.|