We prove upper bounds for the spread, the Lindelöf number and the weak Lindelöf number of the Gδ-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.
A. Bella, S. Spadaro (2019). Cardinal invariants for the Gδ delta topology. COLLOQUIUM MATHEMATICUM, 156(1), 123-133 [10.4064/cm7349-6-2018].
Cardinal invariants for the Gδ delta topology
S. Spadaro
2019-01-01
Abstract
We prove upper bounds for the spread, the Lindelöf number and the weak Lindelöf number of the Gδ-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.
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