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

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

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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

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Metadatos del ítem

Título: On i-topological spaces: generalization of the concept of a topological space via ideals
Autor: Zvina, Irina
Fecha difusión:
Resumen:
[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 ...[+]
Palabras clave: Compatible ideal , Generalization , Topological space
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.2006.1932
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2006.1932
Tipo: Artículo

References

Arenas, F. G. (2000). Acta Mathematica Hungarica, 89(1/2), 47-53. doi:10.1023/a:1026773308067

R.Engelking, General Topology, Warszawa, 1977.

T. R.Hamlett and D. Jankovic, Ideals in Topological Spaces and the Set Operator, Bollettino U.M.I. 7 (1990), 863–874. [+]
Arenas, F. G. (2000). Acta Mathematica Hungarica, 89(1/2), 47-53. doi:10.1023/a:1026773308067

R.Engelking, General Topology, Warszawa, 1977.

T. R.Hamlett and D. Jankovic, Ideals in Topological Spaces and the Set Operator, Bollettino U.M.I. 7 (1990), 863–874.

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.

Jankovic, D., & Hamlet, T. R. (1990). New Topologies from Old via Ideals. The American Mathematical Monthly, 97(4), 295. doi:10.2307/2324512

D. Jankovic and T. R.Hamlett, Compatible Extensions of Ideals, Bollettino U.M.I. 7 (1992), 453–465.

D. Jankovic, T. R. Hamlett and Ch. Konstadilaki, Local-to-global topological properties, Mathematica Japonica 52 (1) (2000), 79–81.

A. S. Mashhour, A. A. Allam, F. S. Mahmoud, F. H. Khedr, On supratopological spaces, Indian J. Pure Appl. Math. 14 (1983), 502–510.

D. V. Rancin, Compactness modulo an ideal, Soviet Math. Dokl. 13 (1) (1972), 193–197.

R. Vaidyanathaswamy, The localization theory in set-topology, Proc. Indian Acad. Sci. Math Sci. 20 (1945), 51–61.

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