On some small cardinals for Boolean algebras
- 1 September 2004
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 69 (3) , 674-682
Abstract
: Assume that all algebras are atomless. (1) Spind(A × B) = Spind(A) ∪ Spind(B). (2) Spind(Ai). Now suppose that κ and λ are infinite cardinals, with κ uncountable and regular and with κ < λ. (3) There is an atomless Boolean algebra A such that u(A) = κ and i(A) = λ. (4) If λ is also regular, then there is an atomless Boolean algebra A such that t(A) = s(A) = κ and α (A) = λ. All results are in ZFC, and answer some problems posed in Monk [01] and Monk [∞].Keywords
This publication has 1 reference indexed in Scilit:
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