Publicado

2018-01-01

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

DOI:

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

Palabras clave:

partial action, separately continuity, Hausdorff groups (en)
acción parcial, continuidad separada, grupos de Hausdorff (es)

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Autores/as

  • Jorge Gómez Universidad Industrial de Santander
  • Héctor Pinedo Universidad Industrial de Santander
  • Carlos Uscátegui Universidad Industrial de Santander
We provide a sufficient condition for a separately continuous partial action of a Hausdorff group on a metric space to be continuous.
Proporcionamos condiciones suficientes para que una acción parcial separadamente continua de un grupo de Hausdorff en un espacio métrico sea continua.

Referencias

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M. Dokuchaev, B. Novikov, and H. Pinedo, The partial schur multiplier

of a group, J. Algebra 392 (2013), 199-225.

R. Exel, Partial actions of groups and actions of inverse semigroups, Proc. Am. Math. Soc. 126 (1998), no. 12, 3481-3494.

S. Gao, Invariant Descriptive Set Theory, Chapmann & Hall, 2009.

J. Gómez, H. Pinedo, and C. Uzcátegui, The open mapping principle for

partial actions of polish groups, J. Math. Anal. Appl. 462 (2018), no. 1,

-346.

J. Hoffmann-Jorgensen and F. Topsoe, Analytic spaces and their application, in analytic sets., Academic Press 37 (1980), 311-340.

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Algebra Comput. 14 (2004), no. 1, 87-114.

H. Pinedo, Partial projective representations and the partial schur multiplier: a survey, Bol. Mat. 22 (2015), no. 2, 167-175.

H. Pinedo and C. Uzcátegui, Borel globalization of partial actions of polish groups, To appear in Archive for Mathematical Logic.

H. Pinedo and C. Uzcátegui, Polish globalization of polish group partial actions, Math. Log. Quart. 63 (2017), no. 6, 481-490.

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Cómo citar

APA

Gómez, J., Pinedo, H. y Uscátegui, C. (2018). On the continuity of partial actions of Hausdorff groups on metric spaces. Revista Colombiana de Matemáticas, 52(1), 1–7. https://doi.org/10.15446/recolma.v1n52.74521

ACM

[1]
Gómez, J., Pinedo, H. y Uscátegui, C. 2018. On the continuity of partial actions of Hausdorff groups on metric spaces. Revista Colombiana de Matemáticas. 52, 1 (ene. 2018), 1–7. DOI:https://doi.org/10.15446/recolma.v1n52.74521.

ACS

(1)
Gómez, J.; Pinedo, H.; Uscátegui, C. On the continuity of partial actions of Hausdorff groups on metric spaces. rev.colomb.mat 2018, 52, 1-7.

ABNT

GÓMEZ, J.; PINEDO, H.; USCÁTEGUI, C. On the continuity of partial actions of Hausdorff groups on metric spaces. Revista Colombiana de Matemáticas, [S. l.], v. 52, n. 1, p. 1–7, 2018. DOI: 10.15446/recolma.v1n52.74521. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/74521. Acesso em: 11 jun. 2024.

Chicago

Gómez, Jorge, Héctor Pinedo, y Carlos Uscátegui. 2018. «On the continuity of partial actions of Hausdorff groups on metric spaces». Revista Colombiana De Matemáticas 52 (1):1-7. https://doi.org/10.15446/recolma.v1n52.74521.

Harvard

Gómez, J., Pinedo, H. y Uscátegui, C. (2018) «On the continuity of partial actions of Hausdorff groups on metric spaces», Revista Colombiana de Matemáticas, 52(1), pp. 1–7. doi: 10.15446/recolma.v1n52.74521.

IEEE

[1]
J. Gómez, H. Pinedo, y C. Uscátegui, «On the continuity of partial actions of Hausdorff groups on metric spaces», rev.colomb.mat, vol. 52, n.º 1, pp. 1–7, ene. 2018.

MLA

Gómez, J., H. Pinedo, y C. Uscátegui. «On the continuity of partial actions of Hausdorff groups on metric spaces». Revista Colombiana de Matemáticas, vol. 52, n.º 1, enero de 2018, pp. 1-7, doi:10.15446/recolma.v1n52.74521.

Turabian

Gómez, Jorge, Héctor Pinedo, y Carlos Uscátegui. «On the continuity of partial actions of Hausdorff groups on metric spaces». Revista Colombiana de Matemáticas 52, no. 1 (enero 1, 2018): 1–7. Accedido junio 11, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/74521.

Vancouver

1.
Gómez J, Pinedo H, Uscátegui C. On the continuity of partial actions of Hausdorff groups on metric spaces. rev.colomb.mat [Internet]. 1 de enero de 2018 [citado 11 de junio de 2024];52(1):1-7. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/74521

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CrossRef Cited-by

CrossRef citations1

1. J. Gómez, H. Pinedo, C. Uzcátegui. (2018). The open mapping principle for partial actions of Polish groups. Journal of Mathematical Analysis and Applications, 462(1), p.337. https://doi.org/10.1016/j.jmaa.2018.02.015.

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