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Adjoining Almost Disjoint Permutations

✍ Scribed by Yi Zhang


Book ID
101371268
Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
131 KB
Volume
48
Category
Article
ISSN
0044-3050

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✦ Synopsis


We show that it is consistent with ZFC + Β¬CH that there is a maximal almost disjoint permutation family A βŠ† Sym(N) such that A is a proper subset of an eventually different family E βŠ† N N and |A| < |E|. We also ask several questions in this area.


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The object of this paper is to study how many essentially different common transversals a family of convex sets on the plane can have. In particular we consider the case where the family consists of pairwise disjoint translates of a single convex set.