10.4115/jla.v6i0.205

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.2010 Mathematics Subject Classification 54B10, 54D20, 03C75 (primary); 03C20, 03E05, 54A20 (secondary)