Cellularity of free products of Boolean algebras ( or topologies )

Abstract

The aim of this paper is to present an answer to Problem 1 of [M1], [M2]. We do this by proving in particular that if μ is a strong limit singular cardinal, θ = (2), 2 = μ then there are Boolean algebras B1,B2 such that c(B1) = μ, c(B2) < θ but c(B1 ∗ B2) = μ. Further we improve this result, deal with the method and the neccessity of the assumptions. The… (More)

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