Sciweavers

AML
2008
84views more  AML 2008»
13 years 11 months ago
Model theory of the regularity and reflection schemes
Abstract. This paper develops the model theory of ordered structures that satisfy Keisler's regularity scheme, and its strengthening REF(L) (the reflection scheme) which is an...
Ali Enayat, Shahram Mohsenipour
AML
2008
74views more  AML 2008»
14 years 17 days ago
Homogeneous iteration and measure one covering relative to HOD
Relative to a hyperstrong cardinal, it is consistent that measure one covering fails relative to HOD. In fact it is consistent that there is a superstrong cardinal and for every re...
Natasha Dobrinen, Sy D. Friedman
AML
2008
66views more  AML 2008»
14 years 17 days ago
Register computations on ordinals
We generalize ordinary register machines on natural numbers to machines whose registers contain arbitrary ordinals. Ordinal register machines are able to compute a recursive bounde...
Peter Koepke, Ryan Siders
AML
2008
54views more  AML 2008»
14 years 17 days ago
Potential continuity of colorings
Abstract. We say that a coloring c : []n 2 is continuous if it is continuous with respect to some second countable topology on . A coloring c is potentially continuous if it is co...
Stefan Geschke
AML
2008
57views more  AML 2008»
14 years 17 days ago
Sheaf toposes for realizability
We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms t...
Steven Awodey, Andrej Bauer
AML
2008
47views more  AML 2008»
14 years 17 days ago
Fruitful and helpful ordinal functions
This document is a survey of the four papers [H], [Sch], [Com], [FandH]. It gives the relevant background and shows how the papers fit together to form a whole. Material from thos...
Harold Simmons
AML
2008
83views more  AML 2008»
14 years 17 days ago
Even more simple cardinal invariants
Using GCH, we force the following: There are continuum many simple cardinal characteristics with pairwise different values. Mathematics Subject Classification (2000) 03E17
Jakob Kellner
AML
2008
63views more  AML 2008»
14 years 17 days ago
Forcing with quotients
We study an extensive connection between quotient forcings of Borel subsets of Polish spaces modulo a -ideal and quotient forcings of subsets of countable sets modulo an ideal.
Michael Hrusák, Jindrich Zapletal
AML
2008
56views more  AML 2008»
14 years 17 days ago
Making all cardinals almost Ramsey
Arthur W. Apter, Peter Koepke
AML
2008
55views more  AML 2008»
14 years 17 days ago
G-compactness and groups
Lascar described EK P as a composition of EL and the topological closure of EL (Casanovas et al. in J Math Log 1(2):305
Jakub Gismatullin, Ludomir Newelski