High dimensional sequential compactness

2023/02/10 by Corral, César, Guzmán, Osvaldo, López-Callejas, Carlos · 1 citation
#FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.2302.05388

Abstract

We give examples of n-sequentially compact spaces that are not (n+1)-sequentially compact under several assumptions. We improve results from Kubis and Szeptycki by building such examples from \mathfrakb=c and \diamondsuit(\mathfrakb)+\mathfrakd=ω₁. We also introduce a new splitting-like cardinal invariant and then show that the same holds under \mathfraks=b.

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