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» An Infinite Antichain of Permutations
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COMBINATORICS
2000
88views more  COMBINATORICS 2000»
13 years 4 months ago
An Infinite Antichain of Permutations
We constructively prove that the partially ordered set of finite permutations ordered by deletion of entries contains an infinite antichain. In other words, there exists an infini...
Daniel A. Spielman, Miklós Bóna
DM
2002
102views more  DM 2002»
13 years 4 months ago
Infinite antichains of matroids with characteristic set {p}
For each prime p, we construct an infinite antichain of matroids in which each matroid has characteristic set {p}. For p = 2, each of the matroids in our antichain is an excluded m...
James G. Oxley, Charles Semple, Dirk L. Vertigan, ...
ORDER
2002
73views more  ORDER 2002»
13 years 4 months ago
Antichains in Products of Linear Orders
We show that: (1) For many regular cardinals (in particular, for all successors of singular strong limit cardinals, and for all successors of singular -limits), for all n {2, 3, ...
Martin Goldstern, Saharon Shelah
COMBINATORICA
2007
45views more  COMBINATORICA 2007»
13 years 4 months ago
How To Split Antichains In Infinite Posets
Péter L. Erdös, Lajos Soukup
ORDER
2006
105views more  ORDER 2006»
13 years 4 months ago
Descending Chains and Antichains of the Unary, Linear, and Monotone Subfunction Relations
The C-subfunction relations on the set of functions on a finite base set A defined by function classes C are examined. For certain clones C on A, it is determined whether the part...
Erkko Lehtonen