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arXiv · 1707.04871

Cardinal Invariants for the $G_\delta$ topology

Angelo Bella·Santi Spadaro
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Abstract

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.

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Angelo Bella, Santi Spadaro. 2017-07-16. Cardinal Invariants for the $G_\delta$ topology. https://arxiv.org/abs/1707.04871

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