arXiv Analytics

Sign in

arXiv:math/9312212 [math.LO]AbstractReferencesReviewsResources

The number of independent elements in the product of interval Boolean algebras

Saharon Shelah

Published 1993-12-15Version 1

We prove that in the product of kappa many Boolean algebras we cannot find an independent set of more than 2^kappa elements solving a problem of Monk (earlier it was known that we cannot find more than 2^{2^kappa} but can find 2^kappa).

Journal: Math. Japon. 39 (1994), 1--5
Categories: math.LO, math.GN
Related articles:
arXiv:1108.5171 [math.LO] (Published 2011-08-25)
Every set of first-order formulas is equivalent to an independent set
arXiv:1505.00235 [math.LO] (Published 2015-05-01)
Asymptotic Enumeration of $I_3$-free Digraphs
arXiv:1508.05539 [math.LO] (Published 2015-08-22)
A dichotomy theorem for the generalized Baire space and elementary embeddability at uncountable cardinals

Links

Toolbox