𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Comparing almost-disjoint families

✍ Scribed by P. Komjáth

Book ID
105411282
Publisher
Akadmiai Kiad
Year
1986
Tongue
English
Weight
181 KB
Volume
47
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Partition subalgebras for maximal almost
Partition subalgebras for maximal almost disjoint families
✍ Alan Dow; Jinyuan Zhou 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 345 KB

Partitioner algebras are deÿned by Baumgartner and Weese (Trans. Amer. Math. Soc. 274 (2) (1982) 619) as a natural tool for studying the properties of maximal almost disjoint families of subsets of !. We prove from PFA + and ♦(S 2 0 ) that there exists a partitioner algebra which contains a subalgeb

Adjoining Almost Disjoint Permutations
Adjoining Almost Disjoint Permutations
✍ Yi Zhang 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

We show that it is consistent with ZFC + ¬CH that there is a maximal almost disjoint permutation family A ⊆ Sym(N) such that A is a proper subset of an eventually different family E ⊆ N N and |A| < |E|. We also ask several questions in this area.