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Topological groups: local versus global

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Topological groups: local versus global

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Arhangelskii, A.; Uspenskij, VV. (2006). Topological groups: local versus global. Applied General Topology. 7(1):67-72. https://doi.org/10.4995/agt.2006.1933

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82955

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Metadatos del ítem

Título: Topological groups: local versus global
Autor: Arhangelskii, A.V. Uspenskij, Vladimir V.
Fecha difusión:
Resumen:
[EN] It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement ...[+]
Palabras clave: Topological group , Paracompact , Lindelöf , Local properties
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.2006.1933
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2006.1933
Tipo: Artículo

References

Arkhangelskii, A. V. (1981). Classes of topological groups. Russian Mathematical Surveys, 36(3), 151-174. doi:10.1070/rm1981v036n03abeh004249

R. Engelking, General Topology (PWN, Warszawa, 1977).

I. Guran, On topological groups close to being Lindelof, Soviet Math. Dokl. 23 (1981), 173–175. [+]
Arkhangelskii, A. V. (1981). Classes of topological groups. Russian Mathematical Surveys, 36(3), 151-174. doi:10.1070/rm1981v036n03abeh004249

R. Engelking, General Topology (PWN, Warszawa, 1977).

I. Guran, On topological groups close to being Lindelof, Soviet Math. Dokl. 23 (1981), 173–175.

J.-P. Serre, Compacité locale des espaces fibr’e, C. R. Acad. Paris 229 (1949), 1295–1297. [=OEuvres, vol. 1]

V. V. Uspenskij, Why compact groups are dyadic, in: General Topology and its relations to modern analysis and algebra VI: Proc. of the 6th Prague topological Symposium 1986, edited by Z. Frolik (Heldermann, Berlin, 1988), 601-610.

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