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MLQ
2007
73views more  MLQ 2007»
13 years 11 months ago
On completely nonmeasurable unions
Assume that there is no quasi-measurable cardinal not greater than 2ω . We show that for a c.c.c. σ-ideal I with a Borel base of subsets of an uncountable Polish space, if A is a...
Szymon Zeberski
MLQ
2007
65views more  MLQ 2007»
13 years 11 months ago
Non-standard analysis in ACA0 and Riemann mapping theorem
Abstract. This research is motivated by the program of Reverse Mathematics and non-standard arguments in second-order arithmetic. Within a weak subsystem of second order arithmetic...
Keita Yokoyama
MLQ
2007
73views more  MLQ 2007»
13 years 11 months ago
Existence of EF-equivalent non-isomorphic models
Abstract. We prove the existence of pairs of models of the same cardinality λ which are very equivalent according to EF games, but not isomorphic. We continue the paper [4], but w...
Chanoch Havlin, Saharon Shelah
MLQ
2007
111views more  MLQ 2007»
13 years 11 months ago
On n-contractive fuzzy logics
It is well known that MTL satisfies the finite embeddability property. Thus MTL is complete w.r.t. the class of all finite MTL-chains. In order to reach a deeper understanding ...
Rostislav Horcík, Carles Noguera, Milan Pet...
MLQ
2007
116views more  MLQ 2007»
13 years 11 months ago
Local sentences and Mahlo cardinals
Local sentences were introduced by Ressayre in [Res88] who proved certain remarkable stretching theorems establishing the equivalence between the existence of finite models for t...
Olivier Finkel, Stevo Todorcevic
MLQ
2007
66views more  MLQ 2007»
13 years 11 months ago
Corrigendum to "Unique solutions"
Peter Schuster
MLQ
2007
72views more  MLQ 2007»
13 years 11 months ago
Mass problems and almost everywhere domination
We examine the concept of almost everywhere domination from the viewpoint of mass problems. Let AED and MLR be the set of reals which are almost everywhere dominating and Martin-L...
Stephen G. Simpson