- -

A note on unibasic spaces and transitive quasi-proximities

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

A note on unibasic spaces and transitive quasi-proximities

Mostrar el registro completo del ítem

García-Máynez, A.; Pimienta Acosta, A. (2017). A note on unibasic spaces and transitive quasi-proximities. Applied General Topology. 18(1):23-30. https://doi.org/10.4995/agt.2017.4092

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/79811

Ficheros en el ítem

Thumbnail
Nombre: 4092-26034-1-PB.pdf
Tamaño: 337.6Kb
Formato: PDF
Abrir/Preview

Metadatos del ítem

Título: A note on unibasic spaces and transitive quasi-proximities
Autor: García-Máynez, Adalberto Pimienta Acosta, Adolfo
Fecha difusión:
Resumen:
[EN] In this paper we prove there is a bijection between the set of all annular bases of a topological spaces $(X,\tau)$ and the set of all transitive quasi-proximities on $X$ inducing $\tau$.We establish some properties ...[+]
Palabras clave: Annular basis , Entourage , Semi-block , Quasi-proximity , Transitive quasi-proximity-uniformity , Unibasic spaces
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.2017.4092
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2017.4092
Agradecimientos:
The second author was supported in part by Universidad de la Costa(CUCwww.cuc.edu.co) under grant of Department of Exact and Natural Sciences, address street 58 # 55-66, Barranquilla, Colombia.
Tipo: Artículo

References

P. Fletcher and W. Lindgren, Quasi-uniformity spaces, vol 77, Marcel Dekker, Inc., New York, First edition, 1982. https://doi.org/10.1080/16073606.1994.9631779 https://doi.org/10.1090/S0002-9939-02-06477-8

Ferrer, J. (1994). ON TOPOLOGICAL SPACES WITH A UNIQUE QUASI-PROXIMITY. Quaestiones Mathematicae, 17(4), 479-486. doi:10.1080/16073606.1994.9631779

Künzi, H.-P. A. (2002). Proceedings of the American Mathematical Society, 130(12), 3725-3731. doi:10.1090/s0002-9939-02-06477-8 [+]
P. Fletcher and W. Lindgren, Quasi-uniformity spaces, vol 77, Marcel Dekker, Inc., New York, First edition, 1982. https://doi.org/10.1080/16073606.1994.9631779 https://doi.org/10.1090/S0002-9939-02-06477-8

Ferrer, J. (1994). ON TOPOLOGICAL SPACES WITH A UNIQUE QUASI-PROXIMITY. Quaestiones Mathematicae, 17(4), 479-486. doi:10.1080/16073606.1994.9631779

Künzi, H.-P. A. (2002). Proceedings of the American Mathematical Society, 130(12), 3725-3731. doi:10.1090/s0002-9939-02-06477-8

K�nzi, H.-P. A. (1984). Topological spaces with a unique compatible quasi-proximity. Archiv der Mathematik, 43(6), 559-561. doi:10.1007/bf01190960

Künzi, H.-P. A., & Pérez-Peñalver, M. J. (2000). Acta Mathematica Hungarica, 88(1/2), 15-23. doi:10.1023/a:1006788124139

Künzi, H.-P. A., & Watson, S. (1996). A nontrivial T1-space admitting a unique quasi-proximity. Glasgow Mathematical Journal, 38(2), 207-213. doi:10.1017/s0017089500031451

Pervin, W. J. (1962). Quasi-uniformization of topological spaces. Mathematische Annalen, 147(4), 316-317. doi:10.1007/bf01440953

Pervin, W. J. (1963). Quasi-proximities for topological spaces. Mathematische Annalen, 150(4), 325-326. doi:10.1007/bf01470761

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem