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MLQ
2002
74views more  MLQ 2002»
13 years 7 months ago
Computability on Regular Subsets of Euclidean Space
For the computability of subsets of real numbers, several reasonable notions have been suggested in the literature. We compare these notions in a systematic way by relating them to...
Martin Ziegler
MLQ
2007
73views more  MLQ 2007»
13 years 7 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
2010
124views more  MLQ 2010»
13 years 6 months ago
Countably categorical coloured linear orders
Abstract. In this paper, we give a classification of (finite or countable) ℵ0categorical coloured linear orders, generalizing Rosenstein’s characterization of ℵ0-categorica...
Feresiano Mwesigye, John K. Truss
MLQ
2010
74views more  MLQ 2010»
13 years 6 months ago
Tallness and level by level equivalence and inequivalence
We construct two models containing exactly one supercompact cardinal in which all nonsupercompact measurable cardinals are strictly taller than they are either strongly compact or...
Arthur W. Apter
MLQ
2006
84views more  MLQ 2006»
13 years 7 months ago
A note on Bar Induction in Constructive Set Theory
Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...
Michael Rathjen