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AML
2000
101views more  AML 2000»
15 years 6 months ago
Local order property in nonelementary classes
We study a local version of the order property in several frameworks, with an emphasis on frameworks where the compactness theorem fails: (1) Inside a fixed model, (2) for classes ...
Rami P. Grossberg, Olivier Lessmann
BSL
2000
153views more  BSL 2000»
15 years 6 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
JUCS
2002
79views more  JUCS 2002»
15 years 6 months ago
Some Notes on Fine Computability
: A metric defined by Fine induces a topology on the unit interval which is strictly stronger than the ordinary Euclidean topology and which has some interesting applications in Wa...
Vasco Brattka
MLQ
2002
83views more  MLQ 2002»
15 years 6 months ago
Pseudomonadic Algebras as Algebraic Models of Doxastic Modal Logic
We generalize the notion of a monadic algebra to that of a pseudomonadic algebra. In the same way as monadic algebras serve as algebraic models of epistemic modal system S5, pseudo...
Nick Bezhanishvili
ORDER
2002
74views more  ORDER 2002»
15 years 6 months ago
Lines, Trees, and Branch Spaces
: In this paper we examine the interactions between the topology of certain linearly ordered topological spaces (LOTS) and the properties of trees in whose branch spaces they embed...
Harold Bennett, David Lutzer, Mary Ellen Rudin