Una nota sobre algunas formas de continuidad

https://doi.org/10.5281/zenodo.5728212

Palabras clave: cuasicontinuo, casi cuasicontinuo, semicontinuo, precontinuo, α-continuous, b-continuo, β-continuo, algo continuo, algo casi continuo

Resumen

Se obtienen nuevas conexiones y caracterizaciones de algunas clases de funciones continuas. En particular, caracterizamos la cuasi continuidad y casi cuasicontinuidad en términos de tipos débiles de conjuntos abiertos.

Citas

Abd-El-Monsef, M. E., EL-Deeb, S. N. and Mahmoud, R. A.; $\beta$-open and $\beta$-continuous mappings, Bull. Fac. Sci. Assiut Univ, 12 (1983), 77--90.

Al-Shami, T.; Somewhere dense sets and ST1-spaces, Journal of Mathematics, Punjab University, 49(2) (2017), 101--111.

Al-shami, T. and Noiri, T.; More notions and mappings via somewhere dense sets, Afrika Matematika, 30(7-8) (2019), 1011--1024.

Ameen, Z. A.; On somewhat near continuity and some applications, Submitted.

Ameen, Z. A.; A new class of semi-open sets in topological spaces, MSc, Dohuk University, 2009.

Ameen, Z. A.; On types of generalized closed sets, Journal of Taibah University for Science, 12(3) (2018), 290--293.

Andrijević, D.; Semi-preopen sets, Matematicki Vesnik, 38(93) (1986), 24--32.

Andrijević, D.; On b-open sets, Matematicki Vesnik, 48 (1996), 59--64.

Borsík, J.; On almost quasicontinuous functions, Mathematica Bohemica, 118(3) (1993), 241--248.

Borsík, J. and Dobos, J.; On decompositions of quasicontinuity, Real Analysis Exchange, 16(1) (1990), 292--305.

Dontchev, J. and Noiri, T.; Contra-semicontinuous functions, Math. Pannon., 10(2) (1999), 159--168.

Gentry, K. R., and Hoyle, H. B.; Somewhat continuous functions, Czechoslovak Mathematical Journal, 21(1) (1971), 5--12.

Kempisty, S.; Sur les fonctions quasicontinues, Fundamenta Mathematicae, 19(1) (1932), 184--197.

Levine, N.; Semi-open sets and semi-continuity in topological spaces, The American Mathematical Monthly, 70(1) (1963), 36--41.

Maheshwari, S.; Some new separations axioms, Ann. Soc. Sci. Bruxelles, Ser. I., 89 (1975), 395--402.

Mashhour, A., Abd-El-Monsef, M. and El-Deep, S.; On preconlinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt., 53 (1982), 47--53.

Mashhour, A., Hasanian, S. and El-Deeb, I.; A note on semi-continuity and precontinuity, Indian J. pure Appl. Math., 13(10) (1982), 1119--1123.

Neubrunn, T.; Quasi-continuity, Real Analysis Exchange, 14(2) (1988), 259--306.

Neubrunnová, A.; On certain generalizations of the notion of continuity, Matematický casopis, 23(4) (1973), 374--380.

Njastad, O.; On some classes of nearly open sets, Pacific journal of mathematics, 15(3) (1965), 961--970.

Noiri, T.; On semi-continuous mappings, Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, 54(2) (1973), 210--214.

Noiri, T.; On $\alpha $-continuous functions, Casopis pro pestování matematiky, \textbf{109}(2) (1984), 118--126.

Piotrowski, Z.; A survey of results concerning generalized continuity on topological spaces, Acta Math. Univ. Comenian, 52(53) (1987), 91--110.

Popa, V. and Noiri, T.; Almost weakly continuous functions, Demonstratio Mathematica, 25(1-2) (1992), 241--252.

Popa, V. and Noiri, T.; On $\beta$-continuous functions, Real Analysis Exchange, 18(2) (1992), 544--548.

Pták, V.; Completeness and the open mapping theorem, Bulletin de la Société Mathématique de France, 86 (1958), 41--74.
Publicado
2021-07-22
Cómo citar
Ameen, Z. (2021). Una nota sobre algunas formas de continuidad: https://doi.org/10.5281/zenodo.5728212. Divulgaciones Matemáticas, 22(1), 52-63. Recuperado a partir de https://www.produccioncientificaluz.org/index.php/divulgaciones/article/view/36564
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Artículos de Investigación