Add to ORKGWe prove that the Covering Property Axiom CPAprism, which holds in the iterated perfect set model, implies the following facts. There exists a family G of uniformly continuous functions from R to [0,1] such that G has cardinality \omega1 \u3c \continuum and for every subset S of R of cardinality \continuum there exists a g in G with g[S]=[0,1]. The additivity of the Marczewski\u27s ideal s0 is equal to \omega1 \u3c \continuum
Abstract. In the paper we formulate an axiom CPAgameprism, which is the most prominent version of th...
summary:Under Martin's axiom, collapsing of the continuum by Sacks forcing $\Bbb S$ is characterized...
AbstractIt is consistent that for every function f:R×R→R there is an uncountable set A⊆R and two con...
We prove that the Covering Property Axiom CPAprism, which holds in the iterated perfect set model, i...
We prove that the Covering Property Axiom CPAprismgame, which holds in the iterated perfect set mode...
The covering property axiom CPA is consistent with ZFC: it is satisfied in the iterated perfect set ...
In the paper we formulate a Covering Property Axiom CPAcube, which holds in the iterated perfect set...
The purpose of this work is two-fold. First, we present some consequences of the Covering Property A...
In the paper we formulate an axiom CPA_{prism}^{game}, which is the most prominent version of the Co...
Abstract. We prove that the Covering Property Axiom CPAgameprism, which holds in the iterated perfec...
This note shows that if a subset S of R is such that some continuous function f from R to R has the ...
Abstract. In the paper we formulate a Covering Property Axiom, CPAprism, which holds in the iterated...
AbstractWe will show that, consistently, every uncountable set can be continuously mapped onto a non...
In the paper we formulate a Covering Property Axiom CPAprism, which holds in the iterated perfect se...
summary:We prove that if there exists a Cohen real over a model, then the family of perfect sets cod...
Abstract. In the paper we formulate an axiom CPAgameprism, which is the most prominent version of th...
summary:Under Martin's axiom, collapsing of the continuum by Sacks forcing $\Bbb S$ is characterized...
AbstractIt is consistent that for every function f:R×R→R there is an uncountable set A⊆R and two con...
We prove that the Covering Property Axiom CPAprism, which holds in the iterated perfect set model, i...
We prove that the Covering Property Axiom CPAprismgame, which holds in the iterated perfect set mode...
The covering property axiom CPA is consistent with ZFC: it is satisfied in the iterated perfect set ...
In the paper we formulate a Covering Property Axiom CPAcube, which holds in the iterated perfect set...
The purpose of this work is two-fold. First, we present some consequences of the Covering Property A...
In the paper we formulate an axiom CPA_{prism}^{game}, which is the most prominent version of the Co...
Abstract. We prove that the Covering Property Axiom CPAgameprism, which holds in the iterated perfec...
This note shows that if a subset S of R is such that some continuous function f from R to R has the ...
Abstract. In the paper we formulate a Covering Property Axiom, CPAprism, which holds in the iterated...
AbstractWe will show that, consistently, every uncountable set can be continuously mapped onto a non...
In the paper we formulate a Covering Property Axiom CPAprism, which holds in the iterated perfect se...
summary:We prove that if there exists a Cohen real over a model, then the family of perfect sets cod...
Abstract. In the paper we formulate an axiom CPAgameprism, which is the most prominent version of th...
summary:Under Martin's axiom, collapsing of the continuum by Sacks forcing $\Bbb S$ is characterized...
AbstractIt is consistent that for every function f:R×R→R there is an uncountable set A⊆R and two con...