Add to ORKGWe survey some recent results on the impact of strong forcing axioms such as the Proper Forcing Axiom PFA and Martin’s Maximum MM on cardinal arithmetic. We concentrate on three combinatorial principles which follow from strong forcing axioms: stationary set reflection, Moore’s Mapping Reflection Principle MRP and the P-ideal dichotomy introduced by Abraham and Todorčevic which play the key role in these results. We also discuss the structure of inner models of PFA and MM and present some open problems
Die vorliegende Dissertation verwendet die forcing Methode für Untersuchungen an den reellen Zahlen ...
In this paper we shall prove Theorem 0.1 Suppose there is a singular strong limit cardinal κ such th...
This paper is mainly a survey of recent results concerning the possibility of building forcing exten...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
Abstract. The purpose of this paper is to present some results which suggest that the Singular Cardi...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
We investigate the consistency strength of the forcing axiom for Σ13 formulas, for various classes o...
Abstract. This paper is an introduction to forcing axioms and large cardinals. Specifically, we shal...
Abstract. Assuming the P-ideal dichotomy, we attempt to isolate those car-dinal characteristics of t...
In this thesis, we present a number of results in set theory, particularly in the areas of forcing, ...
<p>In this thesis, we present a number of results in set theory, particularly in the areas of forcin...
AbstractThe large cardinal axioms of the title assert, respectively, the existence of a nontrivial e...
Itay Neeman found in [6] a new way of iterating proper forcing notions and extended it in [7] to ℵ2....
This book, now in a thoroughly revised second edition, provides a comprehensive and accessible intro...
AbstractWe present a version for κ-distributive ideals over a regular infinite cardinal κ of some of...
Die vorliegende Dissertation verwendet die forcing Methode für Untersuchungen an den reellen Zahlen ...
In this paper we shall prove Theorem 0.1 Suppose there is a singular strong limit cardinal κ such th...
This paper is mainly a survey of recent results concerning the possibility of building forcing exten...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
Abstract. The purpose of this paper is to present some results which suggest that the Singular Cardi...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
We investigate the consistency strength of the forcing axiom for Σ13 formulas, for various classes o...
Abstract. This paper is an introduction to forcing axioms and large cardinals. Specifically, we shal...
Abstract. Assuming the P-ideal dichotomy, we attempt to isolate those car-dinal characteristics of t...
In this thesis, we present a number of results in set theory, particularly in the areas of forcing, ...
<p>In this thesis, we present a number of results in set theory, particularly in the areas of forcin...
AbstractThe large cardinal axioms of the title assert, respectively, the existence of a nontrivial e...
Itay Neeman found in [6] a new way of iterating proper forcing notions and extended it in [7] to ℵ2....
This book, now in a thoroughly revised second edition, provides a comprehensive and accessible intro...
AbstractWe present a version for κ-distributive ideals over a regular infinite cardinal κ of some of...
Die vorliegende Dissertation verwendet die forcing Methode für Untersuchungen an den reellen Zahlen ...
In this paper we shall prove Theorem 0.1 Suppose there is a singular strong limit cardinal κ such th...
This paper is mainly a survey of recent results concerning the possibility of building forcing exten...