5 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…
On (non-Menger) spaces whose closed nowhere dense subsets are Menger
Mathieu Baillif, Santi Spadaro
A space is od-Menger if it satisfies , where are the collection of covers of by respectively open subsets and op…
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…
On some recent selective properties involving networks
Maddalena Bonanzinga, Davide Giacopello, Santi Spadaro +1
In this paper we investigate R-,H-, and M-{\it nw}-selective properties introduced in \cite{BG}. In particular, we provide consistent uncountable examples of such spaces and we def…
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…