Productivity of [μ, λ]-compactness

2012/10/08 by Paolo Lipparini, Lipparini, Paolo
Mathematics · #03E55 #54B10 #54D20 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:03E55 #msc:54B10 #msc:54D20

paper · pdf · doi:10.48550/arxiv.1210.2121

v.2, various improvements

arxiv created 2012/11/27 · arxiv updated 2012/11/29

Abstract

We show that if μ≤ \cf λ and λ is a strong limit singular cardinal, then [μ, λ]-compactness is productive if and only if either μ= ω, or μ is λ-strongly compact.

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