5 citations · 16 across the 25 of their papers we have counts for
6 papers · 1 filter
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 two…
Strongly discrete subsets with Lindelöf closures
Angelo Bella, Santi Spadaro
We define a topological space to be an "SDL space" if the closure of each one of its strongly discrete subsets is Lindelöf. After distinguishing this property from the Lindelöf pro…
Dense metrizable subspaces in powers of Corson compacta
Arkady Leiderman, Santi Spadaro, Stevo Todorcevic
We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not h…
A regular non-weakly discretely generated P-space
Santi Spadaro, Paul Szeptycki
We construct a consistent example of a topological space such that: 1) is regular. 2) Every subset of is open. 3) The point is not isol…
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…