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» An Infinite Antichain of Permutations
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SIAMDM
2010
128views more  SIAMDM 2010»
14 years 10 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
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AML
2010
130views more  AML 2010»
14 years 11 months ago
Additivity of the two-dimensional Miller ideal
Let J (M2 ) denote the -ideal associated with two-dimensional Miller forcing. We show that it is relatively consistent with ZFC that the additivity of J (M2 ) is bigger than the c...
Otmar Spinas, Sonja Thiele
JSC
2008
55views more  JSC 2008»
14 years 11 months ago
Algorithms for a class of infinite permutation groups
Motivated by the famous 3n + 1 conjecture, we call a mapping from Z to Z residue-class-wise affine if there is a positive integer m such that it is affine on residue classes (mod m...
Stefan Kohl
JSYML
2008
112views more  JSYML 2008»
14 years 11 months ago
On the structure of the Medvedev lattice
We investigate the structure of the Medvedev lattice as a partial order. We prove that every interval in the lattice is either finite, in which case it is isomorphic to a finite B...
Sebastiaan Terwijn