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» A dedekind finite borel set
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AML
2011
322views Mathematics» more  AML 2011»
10 years 8 months ago
A dedekind finite borel set
In this paper we prove three theorems about the theory of Borel sets in models of ZF without any form of the axiom of choice. We prove that if B ⊆ 2ω is a Gδσ-set then either...
Arnold W. Miller
APAL
2010
124views more  APAL 2010»
11 years 1 months ago
The effective theory of Borel equivalence relations
The study of Borel equivalence relations under Borel reducibility has developed into an important area of descriptive set theory. The dichotomies of Silver ([19]) and Harrington-K...
Ekaterina B. Fokina, Sy-David Friedman, Asger T&ou...
CORR
2010
Springer
124views Education» more  CORR 2010»
11 years 1 months ago
On Omega Context Free Languages which are Borel Sets of Infinite Rank
This paper is a continuation of the study of topological properties of omega context free languages (-CFL). We proved in [Topological Properties of Omega Context Free Languages, T...
Olivier Finkel
JSYML
2010
120views more  JSYML 2010»
10 years 8 months ago
Universally measurable subgroups of countable index
We prove that any countable index, universally measurable subgroup of a Polish group is open. By consequence, any universally measurable homomorphism from a Polish group into the i...
Christian Rosendal
MLQ
2000
99views more  MLQ 2000»
11 years 1 months ago
Von Rimscha's Transitivity Conditions
In Zermelo-Fraenkel set theory with the axiom of choice every set has the same cardinal number as some ordinal. Von Rimscha has weakened this condition to "Every set has the s...
Paul E. Howard, Jean E. Rubin, Adrienne Stanley
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