6533b862fe1ef96bd12c6262

RESEARCH PRODUCT

Cardinal Invariants for the $G_\delta$ topology

Santi SpadaroAngelo Bella

subject

General MathematicsMathematics::General TopologyGδ-topologyTopological spaceLindelof degreeCombinatoricsMathematics::LogicCardinalityHomogeneoushomogeneous spaceCardinal invariantTopology (chemistry)MathematicsMathematics - General Topology

description

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.

yearjournalcountryeditionlanguage
2017-07-16
http://arxiv.org/abs/1707.04871