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Revista Colombiana de Matemáticas

versão impressa ISSN 0034-7426

Rev.colomb.mat. vol.52 no.1 Bogotá jan./jun. 2018

https://doi.org/10.15446/recolma.v1n52.74521 

Original articles

On the continuity of partial actions of Hausdorff groups on metric spaces

Sobre la continuidad de acciones parciales de grupos de Hausdorff en espacios métricos

Jorge Gómez1 

Héctor Pinedo2  * 

Carlos Uzcátegui3 

1 Universidad Industrial de Santander, Bucaramanga - Colombia

2 Universidad Industrial de Santander, Bucaramanga - Colombia

3 Universidad Industrial de Santander, Bucaramanga - Colombia


Abstract:

We provide a sufficient condition for a separately continuous partial action of a Hausdorff group on a metric space to be continuous.

Keywords: partial action; separately continuity; Hausdorff groups

Resumen:

Proporcionamos condiciones suficientes para que una acción parcial separadamente continua de un grupo de Hausdorff en un espacio métrico sea continua.

Palabras clave: acción parcial; continuidad separada; grupos de Hausdorff

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Received: August 13, 2017; Accepted: November 11, 2018

*Correspondencia: Héctor Pinedo, Escuela de Matemáticas, Universidad Industrial de Santander, Facultad de Ciencias, Cra. 27 Calle 9 UIS Edificio 45, Bucaramanga - Colombia. Correo electrónico: hpinedot@uis.edu.co. DOI: https://doi.org/10.15446/recolma.v1n52.74521

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