Add to ORKGn the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\u27s Axiom + negation of the Continuum Hypothesis + there exists a 0-dimensional Hausrorff topological space X such that X has net weight nw(X) equal to continuum, but nw(Y)=\omega for every subspace Y of X of cardinality less than continuum. In particular, the countable product X\omega of X is hereditarily separable and hereditarily Lindelof, while X does not have countable net weight. This solves a problem of Arhangel\u27skii
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesi...
AbstractWe introduce a weakening of the generalized continuum hypothesis, which we will refer to as ...
[EN] In this paper we continue to investigate the impact that various separation axioms and covering...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
AbstractWe consider independence results concerning two topological problems. First, a space is defi...
AbstractWe introduce a weakening of the generalized continuum hypothesis, which we will refer to as ...
durch das w. M. Edmund Hlawka) This short note presents a simple example of a Hausdorff space which ...
AbstractCircumstances in which the countable chain condition implies separability are investigated. ...
A space is said to be "almost discretely Lindelöf" if every discrete subset can be covered by a Lind...
AbstractUsing side-by-side Sacks forcing, it is proved relatively consistent that the continuum is l...
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesi...
AbstractWe introduce a weakening of the generalized continuum hypothesis, which we will refer to as ...
[EN] In this paper we continue to investigate the impact that various separation axioms and covering...
AbstractA topological space X is called linearly Lindelöf if every increasing open cover of X has a ...
AbstractWe consider independence results concerning two topological problems. First, a space is defi...
AbstractWe introduce a weakening of the generalized continuum hypothesis, which we will refer to as ...
durch das w. M. Edmund Hlawka) This short note presents a simple example of a Hausdorff space which ...
AbstractCircumstances in which the countable chain condition implies separability are investigated. ...
A space is said to be "almost discretely Lindelöf" if every discrete subset can be covered by a Lind...
AbstractUsing side-by-side Sacks forcing, it is proved relatively consistent that the continuum is l...
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
summary:We investigate whether an arbitrary base for a dense-in-itself topological space can be part...