Add to ORKGAbstract. We study cardinal invariants connected to certain classical order-ings on the family of ideals on ω. We give topological and analytic charac-terizations of these invariants using the idealized version of Fréchet-Urysohn property and, in a special case, using sequential properties of the space of finitely-supported probability measures with the weak topology. We inves-tigate consistency of some inequalities between these invariants and classical ones, and other related combinatorial questions. At last, we discuss maximal-ity properties of almost disjoint families related to certain ordering on ideals. 1
AbstractThis expository paper describes a number of theorems dealing with cardinal numbers associate...
We provide some statements equivalent in ZF C to GCH, and also to GCH above a given cardinal. These ...
In this paper we present a wide range of results connected with transitive properties of ideals. In ...
summary:We study cardinal coefficients related to combinatorial properties of partitions of $\omega$...
We discuss the Borel Tukey ordering on cardinal invariants of the continuum. We observe that this or...
Ulam proved that there cannot exist a probability measure on the reals for which every set is measur...
We develop the idea of a θ-ordering (where θ is an infinite cardinal) for a family of infinite sets....
We develop a version of Cichoń’s diagram for cardinal invariants on the generalized Cantor space 2 κ...
Abstract We prove some results displaying relationship between Fubini product of ideals and its fact...
AbstractGroup invariants such as homotopy groups, and cardinal invariants such as weights and densit...
We prove some consistency results about b() and d(), which are natural generalisations of the cardi...
We investigate how much information cardinal invariants can give on the structure of the ordered se...
Abstract. We define two cardinal invariants of the continuum which arise natu-rally from combinatori...
We present some consequences of the inequality u!g among cardinal invariants of the continuum, whic...
Group invariants such as homotopy groups, and cardinal invariants such as weights and density charac...
AbstractThis expository paper describes a number of theorems dealing with cardinal numbers associate...
We provide some statements equivalent in ZF C to GCH, and also to GCH above a given cardinal. These ...
In this paper we present a wide range of results connected with transitive properties of ideals. In ...
summary:We study cardinal coefficients related to combinatorial properties of partitions of $\omega$...
We discuss the Borel Tukey ordering on cardinal invariants of the continuum. We observe that this or...
Ulam proved that there cannot exist a probability measure on the reals for which every set is measur...
We develop the idea of a θ-ordering (where θ is an infinite cardinal) for a family of infinite sets....
We develop a version of Cichoń’s diagram for cardinal invariants on the generalized Cantor space 2 κ...
Abstract We prove some results displaying relationship between Fubini product of ideals and its fact...
AbstractGroup invariants such as homotopy groups, and cardinal invariants such as weights and densit...
We prove some consistency results about b() and d(), which are natural generalisations of the cardi...
We investigate how much information cardinal invariants can give on the structure of the ordered se...
Abstract. We define two cardinal invariants of the continuum which arise natu-rally from combinatori...
We present some consequences of the inequality u!g among cardinal invariants of the continuum, whic...
Group invariants such as homotopy groups, and cardinal invariants such as weights and density charac...
AbstractThis expository paper describes a number of theorems dealing with cardinal numbers associate...
We provide some statements equivalent in ZF C to GCH, and also to GCH above a given cardinal. These ...
In this paper we present a wide range of results connected with transitive properties of ideals. In ...