Add to ORKGThis is an unpolished exposition of some work in the theory of projective ordinals under the hypothesis of definable determinacy. This is understood here as the hypothesis that every set of reals in L[R] is determined. Since the projective ordinals are absolute between the real world and L[R] we carry this study entirely within L[R]. Thus we will use the full Axiom of Determinacy (AD) together with ZF + DC (DC is of course the only choice principle that is preserved under this transition to L[R])
The study of games, and the determinacy thereof, has become incredibly important in modern day set t...
Diese Masterarbeit aus dem Bereich der Mengenlehre fasst mehrere Ergebnisse über Ordinalzahl-Definie...
Working in the context of Projective Determinacy (PD), we introduce and study in this paper a counta...
This is an unpolished exposition of some work in the theory of projective ordinals under the hypoth...
This paper is a contribution to the study of projective sets under the hypothesis of definable deter...
The following results are proved, using the axiom of Pro-jective Determinacy: (i) For n ̂ 1, every ...
We prove the following Main Theorem: ZF+AD+V=L(R)⇒DC. As a corollary we have that Con(ZF+AD)⇒Con(ZF+...
Let ω = {0, 1, 2, ... } be the set of natural numbers and R = ω^ω the set of all infinite sequences ...
It is shown that, within L(R), the smallest inner model of set theory containing the reals, the axio...
The axiom of determinateness (AD), first studied by Mycielski and Steinhaus (see [11] and [15]), pos...
We study in this paper the projective ordinals δ^1_n, where δ^1_n = sup{ξ: ξ is the length of ɑ Δ^1_...
Working within the Zermelo-Frankel Axioms of set theory, we will introduce two important contradicto...
For any collection of sets of reals C, let C-DET be the statement that all sets of reals in C are de...
In this paper we explore coloring theorems for the reals, its quotients, cardinals, and their combin...
Dissertação de Mestrado em Matemática apresentada à Faculdade de Ciências e TecnologiaA análise real...
The study of games, and the determinacy thereof, has become incredibly important in modern day set t...
Diese Masterarbeit aus dem Bereich der Mengenlehre fasst mehrere Ergebnisse über Ordinalzahl-Definie...
Working in the context of Projective Determinacy (PD), we introduce and study in this paper a counta...
This is an unpolished exposition of some work in the theory of projective ordinals under the hypoth...
This paper is a contribution to the study of projective sets under the hypothesis of definable deter...
The following results are proved, using the axiom of Pro-jective Determinacy: (i) For n ̂ 1, every ...
We prove the following Main Theorem: ZF+AD+V=L(R)⇒DC. As a corollary we have that Con(ZF+AD)⇒Con(ZF+...
Let ω = {0, 1, 2, ... } be the set of natural numbers and R = ω^ω the set of all infinite sequences ...
It is shown that, within L(R), the smallest inner model of set theory containing the reals, the axio...
The axiom of determinateness (AD), first studied by Mycielski and Steinhaus (see [11] and [15]), pos...
We study in this paper the projective ordinals δ^1_n, where δ^1_n = sup{ξ: ξ is the length of ɑ Δ^1_...
Working within the Zermelo-Frankel Axioms of set theory, we will introduce two important contradicto...
For any collection of sets of reals C, let C-DET be the statement that all sets of reals in C are de...
In this paper we explore coloring theorems for the reals, its quotients, cardinals, and their combin...
Dissertação de Mestrado em Matemática apresentada à Faculdade de Ciências e TecnologiaA análise real...
The study of games, and the determinacy thereof, has become incredibly important in modern day set t...
Diese Masterarbeit aus dem Bereich der Mengenlehre fasst mehrere Ergebnisse über Ordinalzahl-Definie...
Working in the context of Projective Determinacy (PD), we introduce and study in this paper a counta...