Finitely fibered Rosenthal compacta and trees

  1. W. Kubis
  2. Aníbal Moltó Martínez
Revista:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )

ISSN: 1578-7303

Año de publicación: 2011

Volumen: 105

Número: 1

Páginas: 23-37

Tipo: Artículo

DOI: 10.1007/S13398-011-0006-X DIALNET GOOGLE SCHOLAR

Otras publicaciones en: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )

Objetivos de desarrollo sostenible

Resumen

We study some topological properties of trees with the interval topology. In particular, we characterize trees which admit a 2-fibered compactification and we present two examples of trees whose one-point compactifications are Rosenthal compact with certain renorming properties of their spaces of continuous functions. © 2011 The Author(s).

Referencias bibliográficas

  • Casarrubias Segura, F., Okunev, O., Paniagua Ramírez, C.G., Some results on Lσ(κ)-spaces (2008) Comment. Math. Univ. Carolin., 49, pp. 667-675
  • Gruenhage, G., Perfectly normal compacta, cosmic spaces, and some partition problems (1990) Open Problems in Topology, pp. 86-95. , In: van Mill, J., Reed, G. M. (eds.) North-Holland
  • Haydon, R., Trees in renorming theory (1999) Proc. Lond. Math. Soc. (3), 78 (3), pp. 541-584
  • Haydon, R., Moltó, A., Orihuela, J., Spaces of functions with countably many discontinuities (2007) Israel J. Math., 158, pp. 19-39
  • Kubiś, W., Okunev, O., Szeptycki, P., On some classes of Lindelöf Sigma-spaces (2006) Topology Appl., 153 (14), pp. 2574-2590
  • Kurepa, D., Sur les fonctins réels dans la famille des ensembles bien ordonnés de nombres rationnels (1954) Bull. Intern. Acad. Yougoslave Sci. Beaux-Arts, n. Sér., 12, pp. 35-42. , (Cl. Sci. Math. phys. techn. 4)
  • Molina Lara, I., Okunev, O., Lσ(≤ω)-spaces and spaces of continuous functions (2010) Cent. Eur. J. Math., 8, pp. 754-762
  • Moltó, A., Orihuela, J., Troyanski, S., Valdivia, M., A nonlinear transfer technique for renorming (2009) Lecture Notes in Mathematics, , 1951 Springer, Berlin
  • Okunev, O., Hernández Rendón, A., On Lσ(n)-spaces: Gδ-points and tightness (2010) Topology Appl., 157, pp. 1491-1494
  • Tkačenko, M., P-approximable compact spaces (1991) Comment. Math. Univ. Carolin., 32 (3), pp. 583-595
  • Tkachuk, V., A glance at compact spaces which map "nicely" onto the metrizable ones (1994) Topology Proc., 19, pp. 321-334
  • Todorčević, S., Representing trees as relatively compact subsets of the first Baire class (2005) Bull. Cl. Sci. Math. Nat. Sci. Math., 30, pp. 29-45
  • Todorčević, S., Compact subsets of the first Baire class (1999) J. Am. Math. Soc., 12, pp. 1179-1212
  • Todorčević, S., Trees and linearly ordered sets (1984) Handbook of Set-Theoretic Topology, pp. 235-293. , North-Holland, Amsterdam
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