Artículos científicos
Publicado 2019-02-19
Palabras clave
- Continuo de Effros,
- continuo homogéneo,
- función atómica,
- función T,
- propiedad uniforme de Effros
- propiedad de Kelley ...Más
Cómo citar
Macías, S. (2019). La propiedad de Kelley y continuos. Revista Integración, Temas De matemáticas, 37(1), 17–29. https://doi.org/10.18273/revint.v37n1-2019002
Resumen
Estudiamos a los continuos de Hausdorff con la propiedad de Kelley. Presentamos la versión para continuos de Hausdorff de varios resultados conocidos en el caso métrico. Establecemos una versión débil de Hausdorff del Teorema de Descomposición Aposindética de Jones.
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Referencias
[1] Bellamy D.P. and Lum L., “The Cyclic Connectivity of Homogeneous Arcwise Connected Continua”, Trans. Amer. Math. Soc. 266 (1981), 389–396.
[2] Camargo J., Macías S. and Uzcátegui C., “On the images of Jones’ set function T ”, Colloq. Math. 153 (2018), 1–19.
[3] Charatonik W.J., “A homogeneous continuum without the property of Kelley”, Topology Appl. 96 (1999), 209–216.
[4] Christenson C. and Voxman W., Aspects of Topology, Monographs and Textbooks in Pure and Applied Math., Vol. 39, Marcel Dekker, New York, Basel, 1977.
[5] Engelking R., General Topology, Sigma series in pure mathematics, Vol. 6, Heldermann, Berlin, 1989.
[6] Hocking J. and Young G., Topology, Dover, 1988.
[7] Kelley J.L., “Hyprespaces of a continuum”, Trans. Amer. Math. Soc. 52 (1942), 22–36.
[8] Macías S., Topics on Continua, 2nd edition, Springer, 2018.
[9] Macías S., “A Decomposition Theorem for a Class of Continua for Which the Set Function T is Continuous”, Colloq. Math. 109 (2007), 163–170.
[10] Macías S., “On the Idempotency of the Set Function T ”, Houston J. Math. 37 (2011), 1297–1305.
[11] Macías S., “On Jones’ set function T and the property of Kelley for Hausdorff continua”, Topology Appl. 226 (2017), 51–65.
[12] Macías S., “Hausdorff continua and the uniform property of Effros”, Topology Appl. 230 (2017), 338–352.
[13] Macías S. and Nadler Jr. S.B., “Various types of local connectedness in n-fold hyperspaces”, Topology Appl. 154 (2007), 39–53.
[14] Makuchowski W., “On local connectedness in hyperspaces”, Bull. Pol. Acad. Sci. 47 (1999), 119–126.
[15] Michael E., “Topologies on spaces of subsets”, Trans. Amer. Math. Soc. 71 (1951), 152–182.
[16] Misra A.K., “C-supersets, piecewise order-arcs and local arcwise connectedness in hyperspaces”, Q. & A. in General Topology, 8 (1990), 467–485.
[17] Mrówka S., “On the convergence of nets of sets”, Fund. Math. 45 (1958), 237–246.
[18] Nadler Jr. S.B., Hyperspaces of Sets, Monographs and Textbooks in Pure and Applied Math., Vol. 49, Marcel Dekker, New York, Basel, 1978. Reprinted in: Aportaciones Matemáticas de la Sociedad Matemática Mexicana, Serie Textos # 33, 2006.
[19] Wardle R.W., “On a property of J. L. Kelley”, Houston J. Math. 3 (1977), 291–299.
[20] Wojdysławski M., “Sur la contractibilité des hyperspaces des continus localment connexes”, Fund. Math. 30 (1938), 247–252.
[2] Camargo J., Macías S. and Uzcátegui C., “On the images of Jones’ set function T ”, Colloq. Math. 153 (2018), 1–19.
[3] Charatonik W.J., “A homogeneous continuum without the property of Kelley”, Topology Appl. 96 (1999), 209–216.
[4] Christenson C. and Voxman W., Aspects of Topology, Monographs and Textbooks in Pure and Applied Math., Vol. 39, Marcel Dekker, New York, Basel, 1977.
[5] Engelking R., General Topology, Sigma series in pure mathematics, Vol. 6, Heldermann, Berlin, 1989.
[6] Hocking J. and Young G., Topology, Dover, 1988.
[7] Kelley J.L., “Hyprespaces of a continuum”, Trans. Amer. Math. Soc. 52 (1942), 22–36.
[8] Macías S., Topics on Continua, 2nd edition, Springer, 2018.
[9] Macías S., “A Decomposition Theorem for a Class of Continua for Which the Set Function T is Continuous”, Colloq. Math. 109 (2007), 163–170.
[10] Macías S., “On the Idempotency of the Set Function T ”, Houston J. Math. 37 (2011), 1297–1305.
[11] Macías S., “On Jones’ set function T and the property of Kelley for Hausdorff continua”, Topology Appl. 226 (2017), 51–65.
[12] Macías S., “Hausdorff continua and the uniform property of Effros”, Topology Appl. 230 (2017), 338–352.
[13] Macías S. and Nadler Jr. S.B., “Various types of local connectedness in n-fold hyperspaces”, Topology Appl. 154 (2007), 39–53.
[14] Makuchowski W., “On local connectedness in hyperspaces”, Bull. Pol. Acad. Sci. 47 (1999), 119–126.
[15] Michael E., “Topologies on spaces of subsets”, Trans. Amer. Math. Soc. 71 (1951), 152–182.
[16] Misra A.K., “C-supersets, piecewise order-arcs and local arcwise connectedness in hyperspaces”, Q. & A. in General Topology, 8 (1990), 467–485.
[17] Mrówka S., “On the convergence of nets of sets”, Fund. Math. 45 (1958), 237–246.
[18] Nadler Jr. S.B., Hyperspaces of Sets, Monographs and Textbooks in Pure and Applied Math., Vol. 49, Marcel Dekker, New York, Basel, 1978. Reprinted in: Aportaciones Matemáticas de la Sociedad Matemática Mexicana, Serie Textos # 33, 2006.
[19] Wardle R.W., “On a property of J. L. Kelley”, Houston J. Math. 3 (1977), 291–299.
[20] Wojdysławski M., “Sur la contractibilité des hyperspaces des continus localment connexes”, Fund. Math. 30 (1938), 247–252.