AbstractCircumstances in which the countable chain condition implies separability are investigated. In particular, the implication “Martin's Axiom plus 2N0>N1 implies Souslin's conjecture” is greatly generalized. Proofs are purely topological, using the strong Baire category form of Martin's Axiom. Extensive use is made of Šanin calibers and other cardinal invariants
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
AbstractThis paper presents a short survey of some directions in the theory of cardinal functions, i...
Chain conditions are one of the major tools used in the theory of forcing. We say that a partial ord...
AbstractCircumstances in which the countable chain condition implies separability are investigated. ...
This thesis deals with some equivalences to Soulin's hypothesis. Also included is a consequence of ...
AbstractThe special role of countability in topology has been recognized and commented upon very ear...
There is a fascinating interplay and overlap between recursion theory and descriptive set theory. A ...
We study selective and game-theoretic versions of properties like the ccc, weak Lindelöfness and sep...
AbstractGiven a space 〈X,T〉 in an elementary submodel of H(θ), define XM to be X∩M with the topology...
A connection between the separability and the countable chain condition of spaces with L-property (a...
Abstract. There is a fascinating interplay and overlap between recursion theory and descriptive set ...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
The relative strengths of various chain conditions between separability and the countable chain cond...
AbstractA subspace Y of a topological space X has the countable chain condition in X if every pairwi...
In this paper, we contribute to the growing literature on soft topology. Its theoretical underpinnin...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
AbstractThis paper presents a short survey of some directions in the theory of cardinal functions, i...
Chain conditions are one of the major tools used in the theory of forcing. We say that a partial ord...
AbstractCircumstances in which the countable chain condition implies separability are investigated. ...
This thesis deals with some equivalences to Soulin's hypothesis. Also included is a consequence of ...
AbstractThe special role of countability in topology has been recognized and commented upon very ear...
There is a fascinating interplay and overlap between recursion theory and descriptive set theory. A ...
We study selective and game-theoretic versions of properties like the ccc, weak Lindelöfness and sep...
AbstractGiven a space 〈X,T〉 in an elementary submodel of H(θ), define XM to be X∩M with the topology...
A connection between the separability and the countable chain condition of spaces with L-property (a...
Abstract. There is a fascinating interplay and overlap between recursion theory and descriptive set ...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
The relative strengths of various chain conditions between separability and the countable chain cond...
AbstractA subspace Y of a topological space X has the countable chain condition in X if every pairwi...
In this paper, we contribute to the growing literature on soft topology. Its theoretical underpinnin...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
AbstractThis paper presents a short survey of some directions in the theory of cardinal functions, i...
Chain conditions are one of the major tools used in the theory of forcing. We say that a partial ord...
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