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JSYML
2007
75views more  JSYML 2007»
15 years 4 months ago
Stable definability and generic relations
Abstract. An amalgamation base p in a simple theory is stably definable if its canonical base is interdefinable with the set of canonical parameters for the φ-definitions of p ...
Byunghan Kim, Rahim Moosa
AML
2004
52views more  AML 2004»
15 years 4 months ago
Effectiveness for infinite variable words and the Dual Ramsey Theorem
We examine the Dual Ramsey Theorem and two related combinatorial principles VW(k, l) and OVW(k, l) from the perspectives of reverse mathematics and effective mathematics. We give a...
Joseph S. Miller, Reed Solomon
136
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COMBINATORICS
2004
110views more  COMBINATORICS 2004»
15 years 4 months ago
Flag Vectors of Multiplicial Polytopes
Bisztriczky introduced the multiplex as a generalization of the simplex. A polytope is multiplicial if all its faces are multiplexes. In this paper it is proved that the flag vect...
Margaret M. Bayer
COMBINATORICS
2004
76views more  COMBINATORICS 2004»
15 years 4 months ago
Geometrically Constructed Bases for Homology of Partition Lattices
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
Anders Björner, Michelle L. Wachs
COMBINATORICS
2004
106views more  COMBINATORICS 2004»
15 years 4 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd