Type: Article

High-dimensional sequential compactness

Corral, César; Guzmán, Osvaldo; López-Callejas, Carlos;

Abstract:

We give examples of n-sequentially compact spaces that are not (n+1)-sequentially compact under several assumptions. We improve results of W. Kubi? and P. Szeptycki [Canad. Math. Bull. 66 (2023), 156–165] by building such examples from b=c and ?(b)+d=?1. We also introduce a new splitting-like cardinal invariant and then show that the same holds under s=b.