4 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
A new class of spaces with all finite powers Lindelof
Natasha May, Santi Spadaro, Paul Szeptycki
We consider a new class of open covers and classes of spaces defined from them, called "iota spaces". We explore their relationship with epsilon-spaces (that is, spaces having all…
P-spaces and the Volterra property
Santi Spadaro
We study the relationship between generalizations of -spaces and Volterra (weakly Volterra) spaces, that is, spaces where every two dense have dense (non-empty) intersecti…
On two topological cardinal invariants of an order-theoretic flavour
Santi Spadaro
Noetherian type and Noetherian -type are two cardinal functions which were introduced by Peregudov in 1997, capturing some properties studied earlier by the Russian School. Thei…
Infinite games and cardinal properties of topological spaces
Angelo Bella, Santi Spadaro
Inspired by work of Scheepers and Tall, we use properties defined by topological games to provide bounds for the cardinality of topological spaces. We obtain a partial answer to an…
Comparing weak versions of separability
Daniel T. Soukup, Lajos Soukup, Santi Spadaro
Our aim is to investigate spaces with sigma-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the diffe…