The diagonal of a first countable paratopological group, submetrizability, and related results

A. V. Arhangelskii, Angelo Bella

Abstract

We discuss some properties stronger than Gδ-diagonal. Among other things, we prove that any first countable paratopological group has a Gδ-diagonal of infinite rank and hence also a regular Gδ-diagonal. This answer a question recently asked by Arhangel’skii and Burke.


Keywords

Gδ-diagonal of rank n; Semitopological and paratopological groups; Souslin number; Submetrizability

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References

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Universitat Politècnica de València

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