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Is the product of ccc spaces a ccc space?

Nina M. Roy (1989)

Publicacions Matemàtiques

In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.

Isometry groups of non standard metric products

Bogdana Oliynyk (2013)

Open Mathematics

We consider isometry groups of a fairly general class of non standard products of metric spaces. We present sufficient conditions under which the isometry group of a non standard product of metric spaces splits as a permutation group into direct or wreath product of isometry groups of some metric spaces.

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