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math.GN2016★ 2 cited
On the cardinality of almost discretely Lindelof spaces
Angelo Bella, Santi Spadaro
A space is said to be "almost discretely Lindelöf" if every discrete subset can be covered by a Lindelöf subspace. Juhász, Tkachuk and Wilson asked whether every almost discretely…
math.GN2016
covers of compact spaces
Santi Spadaro, Paul Szeptycki
We solve a long standing question due to Arhangel'skii by constructing a compact space which has a cover with no continuum-sized ()-dense subcollection. We also prove th…