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132
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AML
2004
15 years 6 months ago
2004
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...
169
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COMBINATORICS
2004
15 years 6 months ago
2004
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...
165
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COMBINATORICS
2004
15 years 6 months ago
2004
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...
154
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COMBINATORICS
2004
15 years 6 months ago
2004
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
144
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AML
2000
15 years 6 months ago
2000
The Wholeness Axiom (WA) is an axiom schema that can be added to the axioms of ZFC in an extended language {, j}, and that asserts the existence of a nontrivial elementary embeddin...