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Cardinally Maximal Sets of Non-Equivalent Order Types

✍ Scribed by Charles Fefferman


Publisher
John Wiley and Sons
Year
1967
Tongue
English
Weight
510 KB
Volume
13
Category
Article
ISSN
0044-3050

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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