Continuity via Λ_I - open sets

• Autorzy: Sanabria J. , Acosta E. , Salas-Brown M. , García O.

Identyfikatory

DOI

10.1515/fascmath-2015-0009

• Języki publikacji: EN

Abstrakty

EN

Noiri and Keskin [8] introduced the notions of Λ_I-sets and Λ_I-closed sets using ideals on topological spaces. In this work we use sets that are complements of Λ_I-closed sets, which are called Λ_I-open, to characterize new variants of continuity namely Λ_I-continuous, quasi-Λ_I-continuous and Λ_I-irresolute functions.

Słowa kluczowe

EN

local function; ΛI-open sets; ΛI-irresolute functions

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2015
• Tom: Nr 54
• Strony: 141--151
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sanabria J.

• Departamento de Matemáticas Núcleo de Sucre, Universidad de Oriente Avenida Universidad Cerro Colorado, Cumaná, Estado Sucre, Venezuela

autor

Acosta E.

• Departamento de Matemáticas Núcleo de Sucre, Universidad de Oriente Avenida Universidad Cerro Colorado, Cumaná, Estado Sucre, Venezuela

autor

Salas-Brown M.

• Departamento de Matemáticas Núcleo de Sucre, Universidad de Oriente Avenida Universidad Cerro Colorado, Cumaná, Estado Sucre, Venezuela

autor

García O.

• Departamento de Matemáticas Núcleo de Sucre, Universidad de Oriente Avenida Universidad Cerro Colorado, Cumaná, Estado Sucre, Venezuela

Bibliografia

• [1] Abd El-Monsef M.E., Lashien E.F., Nasef A.A., On I-open sets and I-continuous functions, Kyungpook Math. J., 32(1992), 21-30.
• [2] Dontchev J., On Hausdorff spaces via topological ideals and I-irresolute functions, In papers on General Topology and Applications, Annals of New York Academy of Sciences, 767(1995), 28-38.
• [3] Hatir E., Noiri T., On descompositions of continuity via idealization, Acta. Math. Hungar., 96(4)(2002), 341-349.
• [4] Hayashi E., Topologies defined by local properties, Math. Ann., 156(1964), 205-215.
• [5] Janković D., New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.
• [6] Janković D., Hamlett T.R., Compatible extensions of ideals, Boll. Un. Mat. Ital., 7(6-B)(1992), 453-465.
• [7] Kuratowski K., Topology, Vol. I. New York, Academic Press, 1966.
• [8] Noiri T., Keskin A., On Λ_I-sets and some weak separation axioms, Int. Journal of Math. Analysis, 5(11)(2011), 539-548.
• [9] Samuels P., A topology formed from a given topology and ideal, J. London Math. Soc., 10(1975), 409-416.

Uwagi

W artykule w polu "Key words" - "AMS Mathematics Subject Classification": 54C08, 54D05