Compactness of ωλ for λ singular
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.
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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2. [PDF]DOI: https://doi.org/10.4115/jla.2014.6.2
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Journal of Logic and Analysis ISSN: 1759-9008