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math.GN2023
Infinite dimensional sequential compactness: Sequential compactness based on barriers
Cesar Corral, Osvaldo Guzman, Carlos Lopez-Callejas +3
We introduce a generalization of sequential compactness using barriers on extending naturally the notion introduced in [W. Kubiś and P. Szeptycki, On a topological Ramsey theor…
math.GN2023
High dimensional sequential compactness
César Corral, Osvaldo Guzmán, Carlos López-Callejas
We give examples of -sequentially compact spaces that are not -sequentially compact under several assumptions. We improve results from Kubis and Szeptycki by building suc…