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An Ordered Set of Size ℵ1 with Monochromatic Maximal Chains

✍ Scribed by D. Duffus; T. Goddard

Book ID
111563009
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
97 KB
Volume
17
Category
Article
ISSN
0167-8094

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📜 SIMILAR VOLUMES

Maximal chains and cutsets of an ordered
Maximal chains and cutsets of an ordered set: A menger type approach
✍ J. -M. Brochet; M. Pouzet 📂 Article 📅 1988 🏛 Springer Netherlands 🌐 English ⚖ 797 KB

We prove the following results which are related to Menger's theorem for (infinite) ordered sets. (i) If the space of maximal chains of an ordered set is compact, then the maximum number of pairwise disjoint maximal chains is finite and is equal to the minimum size of a cutset, (i.e. a set which mee