A note on bf-spaces and on the distribution of the functor of the Dieudonné completion
Ver/ Abrir
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
A note on bf-spaces and on the distribution of the functor of the Dieudonné completionFecha de publicación
2021-12Editor
De Gruyter OpenISSN
2299-3231Cita bibliográfica
Sanchis, Manuel and Valero, Óscar. "A note on bf-spaces and on the distribution of the functor of the Dieudonné completion" Topological Algebra and its Applications, vol. 9, no. 1, 2021, pp. 118-125. https://doi.org/10.1515/taa-2021-0201Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.degruyter.com/document/doi/10.1515/taa-2021-0201/html#MLAVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued
continuous function on X is bounded. A real-valued function on X is called bf -continuous if its restriction
to each ... [+]
A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued
continuous function on X is bounded. A real-valued function on X is called bf -continuous if its restriction
to each bounded subset of X has a continuous extension to the whole space X. bf -spaces are spaces such
that bf -continuous functions are continuous. We take advantage to the exponential map in the realm of bf-spaces in order to study bf -extensions of bf -continuous functions. This allows us to improve several results
concerning the distribution of the functor of the Dieudonné completion. We also prove that a relative version
of the classical Glicksberg’s theorem characterizing the product of two pseudocompact spaces is valid for kr-spaces. In the last section we show that bf -hemibounded groups are Moscow spaces and, consequently, they
are strong-PT-groups. [-]
Publicado en
Topological Algebra and its Applications, vol. 9, no. 1, 2021, pp. 118-125.Entidad financiadora
Ministerio de Economía y Competitividad. Gobierno de España
Código del proyecto o subvención
TM2016-77143-P (AEI/FEDER, UE) | MTM2016-77143-P
Título del proyecto o subvención
Grupos topológicos: estructuras duales y aplicaciones
Derechos de acceso
info:eu-repo/semantics/openAccess
Aparece en las colecciones
- MAT_Articles [760]