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c-compactness in locally compact groups and paratopological groups

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Abstract

We study c-compactness in two cases. First, we obtain some subclasses of locally compact groups where compactness and c-compactness coincide, and besides, a result due to Dikranjan and Uspenskij is generalized. We introduce c-compactness and h-completeness in the wider class of Hausforff paratopological groups. It is proved that the closure of any subgroup of a c-compact paratopological group is again a subgroup. We present an example of a non-compact h-complete paratopological group.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Autónoma Metropolitana, Av. San Rafael Atlixco 186, Col. Vicentina, Del. Iztapalapa, C.P. 09340, Mexico City, Mexico

    H. Juárez-Anguiano & I. Sánchez

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  1. H. Juárez-Anguiano
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  2. I. Sánchez
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Correspondence to I. Sánchez.

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The first author was supported by CONACYT (Mexico), grant number 57142.

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Juárez-Anguiano, H., Sánchez, I. c-compactness in locally compact groups and paratopological groups. Acta Math. Hungar. 152, 314–325 (2017). https://doi.org/10.1007/s10474-017-0725-3

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  • DOI: https://doi.org/10.1007/s10474-017-0725-3

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