We characterize exactly the compactness properties of the product of κ copies of the space ω with the discrete topology. The characterization involves uniform ultrafilters, infinitary languages, and the existence of nonstandard elements in elemen- tary extensions. We also have results involving products of possibly uncountable regular cardinals.
Lipparini, P. (2013). Compactness of powers of ω. BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS, 61(3), 239-246 [10.4064/ba61-3-5].
Compactness of powers of ω
LIPPARINI, PAOLO
2013-01-01
Abstract
We characterize exactly the compactness properties of the product of κ copies of the space ω with the discrete topology. The characterization involves uniform ultrafilters, infinitary languages, and the existence of nonstandard elements in elemen- tary extensions. We also have results involving products of possibly uncountable regular cardinals.File in questo prodotto:
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