- -

On i-topological spaces: generalization of the concept of a topological space via ideals

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

On i-topological spaces: generalization of the concept of a topological space via ideals

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: 1932-6051-1-SM.pdf
Tamaño: 206.0Kb
Formato: PDF
Abrir
dc.contributor.author Zvina, Irina es_ES
dc.date.accessioned 2017-06-16T09:06:23Z
dc.date.available 2017-06-16T09:06:23Z
dc.date.issued 2006-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82954
dc.description.abstract [EN] The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are defined via ideals. Developing the concept of an i-topological space and studying structures with compatible ideals, we are concerned to clarify the necessary and sufficient conditions for a new space to be homeomorphic, in some certain sense, to a topological space. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Compatible ideal es_ES
dc.subject Generalization es_ES
dc.subject Topological space es_ES
dc.title On i-topological spaces: generalization of the concept of a topological space via ideals es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T08:47:22Z
dc.identifier.doi 10.4995/agt.2006.1932
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Zvina, I. (2006). On i-topological spaces: generalization of the concept of a topological space via ideals. Applied General Topology. 7(1):51-66. https://doi.org/10.4995/agt.2006.1932 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2006.1932 es_ES
dc.description.upvformatpinicio 51 es_ES
dc.description.upvformatpfin 66 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references Arenas, F. G. (2000). Acta Mathematica Hungarica, 89(1/2), 47-53. doi:10.1023/a:1026773308067 es_ES
dc.description.references R.Engelking, General Topology, Warszawa, 1977. es_ES
dc.description.references T. R.Hamlett and D. Jankovic, Ideals in Topological Spaces and the Set Operator, Bollettino U.M.I. 7 (1990), 863–874. es_ES
dc.description.references T. R. Hamlett and D. Jankovic, Ideals in General Topology, General Topology and Applications, (Middletown, CT, 1988), 115 – 125; SE: Lecture Notes in Pure & Appl. Math., 123 1990, Dekker, New York. es_ES
dc.description.references Jankovic, D., & Hamlet, T. R. (1990). New Topologies from Old via Ideals. The American Mathematical Monthly, 97(4), 295. doi:10.2307/2324512 es_ES
dc.description.references D. Jankovic and T. R.Hamlett, Compatible Extensions of Ideals, Bollettino U.M.I. 7 (1992), 453–465. es_ES
dc.description.references D. Jankovic, T. R. Hamlett and Ch. Konstadilaki, Local-to-global topological properties, Mathematica Japonica 52 (1) (2000), 79–81. es_ES
dc.description.references A. S. Mashhour, A. A. Allam, F. S. Mahmoud, F. H. Khedr, On supratopological spaces, Indian J. Pure Appl. Math. 14 (1983), 502–510. es_ES
dc.description.references D. V. Rancin, Compactness modulo an ideal, Soviet Math. Dokl. 13 (1) (1972), 193–197. es_ES
dc.description.references R. Vaidyanathaswamy, The localization theory in set-topology, Proc. Indian Acad. Sci. Math Sci. 20 (1945), 51–61. es_ES


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

Mostrar el registro sencillo del ítem