Angelo Bella, Santi Spadaro
Published 2017-07-16Version 1
We prove upper bounds for the spread, the Lindel\"of number and the weak Lindel\"of number of the $G_\delta$-topology on a topological space and apply a few of our bounds to give a short proof to a recent result of Juh\'asz and van Mill regarding the cardinality of a $\sigma$-countably tight homogeneous compactum.
The Suslinian number and other cardinal invariants of continua
Regular $G_δ$-diagonals and some upper bounds for cardinality of topological spaces
A short proof of nonhomogeneity of the pseudo-circle
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