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

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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1881-5925-1-SM.pdf (107.09 KB)

Fecha

2007-10-01

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https://riunet.upv.es/handle/10251/83066

Cita bibliográfica

Arhangelskii, A.; Bella, A. (2007). The diagonal of a first countable paratopological group, submetrizability, and related results. Applied General Topology. 8(2):207-212. https://doi.org/10.4995/agt.2007.1881

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Resumen

[EN] 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.

Palabras clave

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

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2007.1881

Versión del editor

https://doi.org/10.4995/agt.2007.1881

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Applied General Topology - Vol 08, No 2 (2007)