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Characterizing meager paratopological groups

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Characterizing meager paratopological groups

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Banak, T.; Guran, I.; Ravsky, A. (2011). Characterizing meager paratopological groups. Applied General Topology. 12(1):27-33. https://doi.org/10.4995/agt.2011.1698

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Título: Characterizing meager paratopological groups
Autor: Banak, Taras Guran, Igor Ravsky, Alex
Fecha difusión:
Resumen:
[EN] We prove that a Hausdorff paratopological group G is meager if andonly if there are a nowhere dense subset A G and a countable setC G such that CA = G = AC.
Palabras clave: Paratopological group , Baire space , Shift-Baire group , Shift-meager group
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2011.1698
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2011.1698
Tipo: Artículo

References

A. Bella and V. Malykhin, On certain subsets of a group, Questions Answers Gen. Topology 17, no. 2 (1999), 183–197.

A. Bella, V. Malykhin, On certain subsets of a group. II, Questions Answers Gen. Topology 19, no. 1 (2001), 81–94.

Dikranjan, D., Marconi, U., & Moresco, R. (2003). Groups with a small set of generators. Applied General Topology, 4(2), 327. doi:10.4995/agt.2003.2037 [+]
A. Bella and V. Malykhin, On certain subsets of a group, Questions Answers Gen. Topology 17, no. 2 (1999), 183–197.

A. Bella, V. Malykhin, On certain subsets of a group. II, Questions Answers Gen. Topology 19, no. 1 (2001), 81–94.

Dikranjan, D., Marconi, U., & Moresco, R. (2003). Groups with a small set of generators. Applied General Topology, 4(2), 327. doi:10.4995/agt.2003.2037

Dikranjan, D., & Protasov, I. V. (2006). Every infinite group can be generated by P-small subset. Applied General Topology, 7(2), 265. doi:10.4995/agt.2006.1929

I. I. Guran, Topological groups similar to Lindel¨of groups, Dokl. Akad. Nauk SSSR 256, no. 6 (1981), 1305–1307.

I. I. Guran. The Cardinal Invariant of Paratopological Groups, Proc. of II Intern. Algebraical Conf. in Ukraine, Dedicated to the Memory of L.A. Kaluzhnin. – Kyiv-Vinnitsya, 1999. - P.72. (in Ukrainian)

Tkačenko, M. (1998). Introduction to topological groups. Topology and its Applications, 86(3), 179-231. doi:10.1016/s0166-8641(98)00051-0

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