๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Ordered sets with no chains of ideals of a given type

โœ Scribed by Maurice Pouzet; Nejib Zaguia


Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
879 KB
Volume
1
Category
Article
ISSN
0167-8094

No coin nor oath required. For personal study only.


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