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Local hitting and conditioning in symmetric interval partitions

โœ Scribed by Olav Kallenberg

Book ID
108432857
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
235 KB
Volume
94
Category
Article
ISSN
0304-4149

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๐Ÿ“œ SIMILAR VOLUMES

Posets in which every interval is a prod
Posets in which every interval is a product of chains, and natural local actions of the symmetric group
โœ David J. Grabiner ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 545 KB

Consider a graded poset P with maximal and minimal elements. If every interval of rank three in P is a product of chains, and for every interval [.L ~1 of rank at least four, the open interval (x, y) is connected, we show that the entire poset is a product of chains. This proves a conjecture of Stan