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» An Infinite Antichain of Permutations
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SIAMDM
2010
128views more  SIAMDM 2010»
13 years 4 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...
AML
2010
130views more  AML 2010»
13 years 6 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»
13 years 6 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»
13 years 6 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