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Compactness and subsets of ordered sets that meet all maximal chains

โœ Scribed by John Ginsburg


Book ID
104812413
Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
608 KB
Volume
1
Category
Article
ISSN
0167-8094

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๐Ÿ“œ SIMILAR VOLUMES


Maximal chains and cutsets of an ordered
โœ J. -M. Brochet; M. Pouzet ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 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