Cardinal Invariants for the G_δ topology

2017/07/16 by Bella, Angelo, Spadaro, Santi
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1707.04871

Abstract

We prove upper bounds for the spread, the Lindelöf number and the weak Lindelöf number of the G_δ-topology on a topological space and apply a few of our bounds to give a short proof to a recent result of Juhász and van Mill regarding the cardinality of a σ-countably tight homogeneous compactum.

Related

• G_δ-topology and compact cardinals
• Upper bounds for the tightness of the G_δ-topology
• More on Cardinality Bounds Involving the Weak Lindelöf degree
• G_δ covers of compact spaces
• Cardinality bounds involving the skew-λ Lindelöf degree and its variants