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86
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APAL
2000
84views more  APAL 2000»
15 years 11 days ago
Strong Splitting in Stable Homogeneous Models
In this paper we study elementary submodels of a stable homogeneous structure. We improve the independence relation defined in [Hy]. We apply this to prove a structure theorem. We...
Tapani Hyttinen, Saharon Shelah
82
Voted
APAL
2000
84views more  APAL 2000»
15 years 11 days ago
More on Cardinal Invariants of Boolean Algebras
We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency results. We show in ZFC that ir...
Andrzej Roslanowski, Saharon Shelah
77
Voted
APAL
1999
68views more  APAL 1999»
15 years 6 days ago
Toward Categoricity for Classes with no Maximal Models
We provide here the first steps toward a Classification Theory of Elementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categori...
Saharon Shelah, Andrés Villaveces
APAL
2006
51views more  APAL 2006»
15 years 18 days ago
Models of real-valued measurability
Abstract. Solovay's random-real forcing ([1]) is the standard way of producing real-valued measurable cardinals. Following questions of Fremlin, by giving a new construction, ...
Sakaé Fuchino, Noam Greenberg, Saharon Shel...
76
Voted
APAL
2002
79views more  APAL 2002»
15 years 12 days ago
Extending the system T0 of explicit mathematics: the limit and Mahlo axioms
In this paper we discuss extensions of Feferman's theory T0 for explicit mathematics by the so-called limit and Mahlo axioms and present a novel approach to constructing natu...
Gerhard Jäger, Thomas Studer