Compactness of ωλ for λ singular

Paolo Lipparini

Abstract


We characterize the compactness properties of the product of λ copies
of the space ω with the discrete topology, dealing in particular with the case λ
singular, using regular and uniform ultrafilters, infinitary languages and nonstandard
elements. We also deal with products of uncountable regular cardinals with the
order topology.

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DOI: http://dx.doi.org/10.4115/jla.2014.6.2

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Journal of Logic and Analysis ISSN:  1759-9008