- -

On I-quotient mappings and I-cs'-networks under a maximal ideal

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

On I-quotient mappings and I-cs'-networks under a maximal ideal

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Zhou - On I-quotient ...
Tamaño: 378.7Kb
Formato: PDF
Descripción: Versión editorial
Abrir
dc.contributor.author Zhou, Xiangeng es_ES
dc.date.accessioned 2020-10-07T09:09:58Z
dc.date.available 2020-10-07T09:09:58Z
dc.date.issued 2020-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/151355
dc.description.abstract [EN] Let I be an ideal on N and f : X → Y be a mapping. f is said to be an I-quotient mapping provided f−1(U) is I-open in X, then U is I-open in Y . P is called an I-cs′-network of X if whenever {xn}n∈N is a sequence I-converging to a point x ∈ U with U open in X, then there is P ∈ P and some n0 ∈ N such that {x, xn0} ⊆ P ⊆ U. In this paper, we introduce the concepts of I-quotient mappings and I-cs′-networks, and study some characterizations of I-quotient mappings and I-cs′- networks, especially J -quotient mappings and J -cs′-networks under a maximal ideal J of N. With those concepts, we obtain that if X is an J -FU space with a point-countable J -cs′-network, then X is a meta-Lindelöf space. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Ideal convergence es_ES
dc.subject Maximal ideal es_ES
dc.subject I-sequential neighborhood es_ES
dc.subject I-quotient mappings es_ES
dc.subject I-cs'-networks es_ES
dc.subject I-FU spaces es_ES
dc.title On I-quotient mappings and I-cs'-networks under a maximal ideal es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2020.12967
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Zhou, X. (2020). On I-quotient mappings and I-cs'-networks under a maximal ideal. Applied General Topology. 21(2):235-246. https://doi.org/10.4995/agt.2020.12967 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2020.12967 es_ES
dc.description.upvformatpinicio 235 es_ES
dc.description.upvformatpfin 246 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 21 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\12967 es_ES
dc.description.references J. R. Boone and F. Siwiec, Sequentially quotient mappings, Czech. Math. J. 26 (1976), 174-182. es_ES
dc.description.references L. X. Cheng, G. C. Lin, Y. Y. Lan and H. Liu, Measure theory of statistical convergence, Sci. China Ser. A 51 (2008), 2285-2303. https://doi.org/10.1007/s11425-008-0017-z es_ES
dc.description.references L. X. Cheng, G. C. Lin and H. H. Shi, On real-valued measures of statistical type and their applications to statistical convergence, Math. Comput. Modelling 50 (2009), 116-122. https://doi.org/10.1016/j.mcm.2009.04.004 es_ES
dc.description.references P. Das, Some further results on ideal convergence in topological spaces, Topol. Appl. 159 (2012), 2621-2626. https://doi.org/10.1016/j.topol.2012.04.007 es_ES
dc.description.references P. Das and S. Ghosal, When I-Cauchy nets in complete uniform spaces are I-convergent, Topol. Appl. 158 (2011), 1529-1533. https://doi.org/10.1016/j.topol.2011.05.006 es_ES
dc.description.references P. Das, Lj.D.R. Kocinac and D. Chandra, Some remarks on open covers and selection principles using ideals, Topol. Appl. 202 (2016), 183-193. https://doi.org/10.1016/j.topol.2016.01.003 es_ES
dc.description.references G. Di Maio and Lj. D. R. Kocinac, Statistical convergence in topology, Topol. Appl. 156 (2008), 28-45. https://doi.org/10.1016/j.topol.2008.01.015 es_ES
dc.description.references R. Engelking, General Topology (revised and completed edition), Heldermann Verlag, Berlin, 1989. es_ES
dc.description.references H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244. https://doi.org/10.4064/cm-2-3-4-241-244 es_ES
dc.description.references L. Gillman and M. Jerison, Rings of Continuous Functions, Van Nostrand, Princeton, 1960. https://doi.org/10.1007/978-1-4615-7819-2 es_ES
dc.description.references P. Kostyrko, T. Salát and W. Wilczynski, I-convergence, Real Anal. Exch. 26 (2000/2001), 669-686. https://doi.org/10.2307/44154069 es_ES
dc.description.references B. K. Lahiri and P. Das, I and I*-convergence in topological spaces, Math. Bohemica 130, no. 2 (2005), 153-160. es_ES
dc.description.references S. Lin, Point-countable covers and sequence-covering mappings, Science Press, Beijing, 2015 (in Chinese). es_ES
dc.description.references S. Lin and Z.Q. Yun, Generalized metric spaces and mapping, Atlantis Studies in Mathematics 6, Atlantis Press, Paris, 2016. https://doi.org/10.2991/978-94-6239-216-8 es_ES
dc.description.references S. K. Pal, N. Adhikary and U. Samanta, On ideal sequence covering maps, Appl. Gen. Topol. 20, no. 2 (2019), 363-377. https://doi.org/10.4995/agt.2019.11238 es_ES
dc.description.references H. Steinhaus, Sur la convergence ordinaire et la convergence asymptotique, Colloq. Math. 2 (1951), 73-74. https://doi.org/10.4064/cm-2-2-98-108 es_ES
dc.description.references Z. Tang and F. Lin, Statistical versions of sequential and Fréchet-Urysohn spaces, Adv. Math. (China) 44 (2015), 945-954. es_ES
dc.description.references X. G. Zhou and M. Zhang, More about the kernel convergence and the ideal convergence, Acta Math. Sinica, English Series 29 (2013), 2367-2372. es_ES
dc.description.references X. G. Zhou and L. liu, On I-covering mappings and 1-I-covering mappings, J. Math. Res. Appl. (China) 40, no. 1 (2020) 47-56. es_ES
dc.description.references X. G. Zhou, L. Liu and S. Lin, On topological spaces defined by I-convergence, Bull. Iran. Math. Soc. 46 (2020), 675-692. https://doi.org/10.1007/s41980-019-00284-6 es_ES


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

Mostrar el registro sencillo del ítem