𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A characterization of finite BOOLEan lattices

✍ Scribed by Juhani Nieminen


Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
250 KB
Volume
80
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The length of random subsets of Boolean
✍ Y. Kohayakawa; B. Kreuter; D. Osthus πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 236 KB πŸ‘ 3 views

We form the random poset P P n, p by including each subset of n s 1, . . . , n with probability p and ordering the subsets by inclusion. We investigate the length of the Ε½ . longest chain contained in P P n, p . For p G ern we obtain the limit distribution of this random variable. For smaller p we g

The Width of Random Subsets of Boolean L
✍ Y. Kohayakawa; B. Kreuter πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 132 KB

Suppose we toss an independent coin with probability of success p for each subset of ½n ¼ f1; . . . ; ng; and form the random hypergraph Pðn; pÞ by taking as hyperedges the subsets with successful coin tosses. We investigate the cardinality of the largest Sperner family contained in Pðn; pÞ: We obta

Small sublattices in random subsets of B
✍ B. Kreuter πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 290 KB πŸ‘ 3 views

In this article, we determine the probability of existence of small lattices in random subsets of a Boolean lattice. Furthermore, we address some Ramsey-and Turan-type questions. Analogous questions have been studied extensively for random graphs, but it turns out that the situation for Boolean lat

Ο‰-categorical weakly o-minimal expansion
✍ Stefano Leonesi; Carlo Toffalori πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 150 KB

## Abstract We study __Ο‰__‐categorical weakly o‐minimal expansions of Boolean lattices. We show that a structure π’œ = (__A__,≀, ℐ) expanding a Boolean lattice (__A__,≀) by a finite sequence __I__ of ideals of __A__ closed under the usual Heyting algebra operations is weakly o‐minimal if and only if