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Weaker forms of the Menger property

✍ Scribed by Pansera, Bruno Antonio

Book ID
118124679
Publisher
Taylor and Francis Group
Year
2012
Tongue
English
Weight
590 KB
Volume
35
Category
Article
ISSN
1607-3606

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It is shown that, if an ordered set P contains at most k pairwise disjoint maximal chains, where k is finite, then every finite family of maximal chains in P has a cutset of size at most k. As a corollary of this, we obtain the following Menger-type result that, if in addition, P contains k pairwise