4 papers
Functional countability and exponential separability of product spaces and subspaces
Rodrigo Hernández-Gutiérrez, 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…
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…
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 tw…
When is the complement of the diagonal of a LOTS functionally countable?
Luis Enrique Gutiérrez-DomÃnguez, Rodrigo Hernández-Gutiérrez
In a 2021 paper, Vladimir Tkachuk asked whether there is a non-separable LOTS such that is functionally countable. In this pap…