AbstractWe introduce a weakening of the generalized continuum hypothesis, which we will refer to as the prevalent singular cardinals hypothesis, and show it implies that every topological space of density and weight ℵω1 is not hereditarily Lindelöf.The assumption PSH is very weak, and in fact holds in all currently known models of ZFC
AbstractIn this paper, we show the following statements:(1)For any cardinal κ, there exists a pseudo...
AbstractIn this note I will show that an inessential modification of the ZFC example of a hereditari...
summary:It is shown that no generalized Luzin space condenses onto the unit interval and that the di...
AbstractWe introduce a weakening of the generalized continuum hypothesis, which we will refer to as ...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
AbstractA topological Hausdorff space X is sequentially linearly Lindelöf if for every uncountable r...
AbstractWe consider the question of whether uncountable Lindelöf spaces have Lindelöf subspaces of s...
AbstractWe find a model of set theory in which there is a Lindelöf scattered space of cardinality > ...
AbstractWe obtain from the consistency of the existence of a measurable cardinal the consistency of ...
AbstractWe consider independence results concerning two topological problems. First, a space is defi...
AbstractThe class of spaces such that their product with every Lindelöf space is Lindelöf is not wel...
AbstractIf X is a topological space with density d(X)⩾2, then cf (d((Xκ)(λ)))⩾cf λ, where (Xκ)(λ) is...
AbstractWe consider independence results concerning two topological problems. First, a space is defi...
We use core model theory to obtain the following lower bounds to the consistency strength for the fa...
AbstractIn this paper, we show the following statements:(1)For any cardinal κ, there exists a pseudo...
AbstractIn this note I will show that an inessential modification of the ZFC example of a hereditari...
summary:It is shown that no generalized Luzin space condenses onto the unit interval and that the di...
AbstractWe introduce a weakening of the generalized continuum hypothesis, which we will refer to as ...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
AbstractA topological Hausdorff space X is sequentially linearly Lindelöf if for every uncountable r...
AbstractWe consider the question of whether uncountable Lindelöf spaces have Lindelöf subspaces of s...
AbstractWe find a model of set theory in which there is a Lindelöf scattered space of cardinality > ...
AbstractWe obtain from the consistency of the existence of a measurable cardinal the consistency of ...
AbstractWe consider independence results concerning two topological problems. First, a space is defi...
AbstractThe class of spaces such that their product with every Lindelöf space is Lindelöf is not wel...
AbstractIf X is a topological space with density d(X)⩾2, then cf (d((Xκ)(λ)))⩾cf λ, where (Xκ)(λ) is...
AbstractWe consider independence results concerning two topological problems. First, a space is defi...
We use core model theory to obtain the following lower bounds to the consistency strength for the fa...
AbstractIn this paper, we show the following statements:(1)For any cardinal κ, there exists a pseudo...
AbstractIn this note I will show that an inessential modification of the ZFC example of a hereditari...
summary:It is shown that no generalized Luzin space condenses onto the unit interval and that the di...
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