3 papers
math.GN2026
Functional countability and exponential separability of product spaces and subspaces
Rodrigo Hernández-Gutiérrez, Santi Spadaro
We investigate the behavior of functional countability and exponential separability in products and subspaces of topological spaces. We solve a problem of Tkachuk by showing that t…
math.GN2024
Consistency and independence phenomena involving cellular-Lindelof spaces
Rodrigo Hernández-Gutiérrez, Santi Spadaro
The cellular-Lindelöf property is a common generalization of the Lindelöf property and the countable chain condition that was introduced by Bella and Spadaro in 2018. We solve two…
math.GN2024
Comparing functional countability and exponential separability
Rodrigo Hernández-Gutiérrez, Santi Spadaro
A space is functionally countable if every real-valued continuous function has countable image. A stronger property recently defined by Tkachuk is exponentially separability. We st…