### Compactness of ω^{λ} 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.

#### Full Text:

2. [PDF]DOI: https://doi.org/10.4115/jla.2014.6.2

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Journal of Logic and Analysis ISSN: 1759-9008