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

Alexander V. Arhangel'skii, Angelo Bella

• 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.