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There are several slightly different sorts of collapsing algebras.
If κ and λ are cardinals, then the Boolean algebra of regular open sets of the product space κ<sup>λ</sup> is a collapsing algebra. Here κ and λ are both given the discrete topology. There are several different options for the topology of
κ<sup>λ</sup>. The simplest option is to take the usual product topology. Another option is to take the topology generated by open sets consisting of functions whose value is specified on less than λ elements of λ.
==References==
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