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.
Lipparini, P. (2014). Compactness of $\omega^\lambda$ for $\lambda$ singular. JOURNAL OF LOGIC AND ANALYSIS, 6 [10.4115/jla.v6i0.205].
Compactness of $\omega^\lambda$ for $\lambda$ singular
LIPPARINI, PAOLO
2014-01-01
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.File in questo prodotto:
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