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More on cardinal invariants of Boolean algebras

✍ Scribed by Andrzej Rosłanowski; Saharon Shelah

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
307 KB
Volume
103
Category
Article
ISSN
0168-0072

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📜 SIMILAR VOLUMES

A consistency result on cardinal sequenc
A consistency result on cardinal sequences of scattered Boolean spaces
✍ Juan C. Martínez 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 119 KB

We prove that if GCH holds and τ = κα : α < η is a sequence of infinite cardinals such that κα ≥ |η| for each α < η, then there is a cardinal-preserving partial order that forces the existence of a scattered Boolean space whose cardinal sequence is τ .

On the contribution of cardinalities of
On the contribution of cardinalities of row space of Boolean matrices
✍ Lipin Zhong 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 606 KB

Let B,, be the set of all n × n Boolean matrices, R(A) denote the row space of A E B,,, IR(A)[ denote the cardinality of R(A). In this paper, we show the following two lacts. (

Maximizing Möbius functions on subsets o
Maximizing Möbius functions on subsets of Boolean algebras
✍ Bruce E Sagan; Yeong-Nan Yeh; Günter M Ziegler 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 1008 KB

Let 5 be a family of subsets of an n-set, considered as a subposet of the Boolean algebra B.. Adjoin a minimum 0 and maximum i if necessary to form @. Let ~(95) denote the value of the Mdbius function p(6,i) in &. We compute the maximum value of Ip( as 9 ranges over three types of families in B,: lo