We present a model where omega (1) is inaccessible by reals, Silver measurability holds for all sets but Miller and Lebesgue measurability fail for some sets. This contributes to a line of research started by Shelah in the 1980s and more recently continued by Schrittesser and Friedman (see [7]), regarding the separation of different notions of regularity properties of the real line
This expository article is based on two lectures given by the first author at the Fields Institute i...
In the following κ and λ are arbitrary regular uncountable cardinals. What was known? Theorem 1 (Bal...
It is well-known that if we assume a large class of sets of reals to be determined then we may concl...
This paper provides a common extension of two recent lines of work: the study of arithmetic regulari...
summary:We prove that if there exists a Cohen real over a model, then the family of perfect sets cod...
1 We present some results about the burgeoning research area concern-ing set theory of the “κ-reals”...
AbstractWe give an optimal lower bound in terms of large cardinal axioms for the logical strength of...
We further investigate the uniform regularity property of collections of sets via primal and dual ch...
We show, for any positive integer k, that there exists a graph in which any equitable partition of i...
In this article we give a forcing characterization for the Ramsey property of -Sets of reals. This r...
AbstractWe show that every dominating analytic set in the Baire space has a dominating closed subset...
We study several perfect set properties of the Baire space which follow from the Ramsey property ω→(...
This thesis divides naturally into two parts, each concerned with the extent to which the theory of ...
AbstractWe study perfect-set properties in the modelL(R)[U] whenL(R) is (elementarily equivalent to)...
O estudo das propriedades de regularidade na reta real é tão antigo quanto o surgimento da teoria do...
This expository article is based on two lectures given by the first author at the Fields Institute i...
In the following κ and λ are arbitrary regular uncountable cardinals. What was known? Theorem 1 (Bal...
It is well-known that if we assume a large class of sets of reals to be determined then we may concl...
This paper provides a common extension of two recent lines of work: the study of arithmetic regulari...
summary:We prove that if there exists a Cohen real over a model, then the family of perfect sets cod...
1 We present some results about the burgeoning research area concern-ing set theory of the “κ-reals”...
AbstractWe give an optimal lower bound in terms of large cardinal axioms for the logical strength of...
We further investigate the uniform regularity property of collections of sets via primal and dual ch...
We show, for any positive integer k, that there exists a graph in which any equitable partition of i...
In this article we give a forcing characterization for the Ramsey property of -Sets of reals. This r...
AbstractWe show that every dominating analytic set in the Baire space has a dominating closed subset...
We study several perfect set properties of the Baire space which follow from the Ramsey property ω→(...
This thesis divides naturally into two parts, each concerned with the extent to which the theory of ...
AbstractWe study perfect-set properties in the modelL(R)[U] whenL(R) is (elementarily equivalent to)...
O estudo das propriedades de regularidade na reta real é tão antigo quanto o surgimento da teoria do...
This expository article is based on two lectures given by the first author at the Fields Institute i...
In the following κ and λ are arbitrary regular uncountable cardinals. What was known? Theorem 1 (Bal...
It is well-known that if we assume a large class of sets of reals to be determined then we may concl...
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