A Kuratowski-Mrówka type characterization of fibrewise compactness

• Neira U., Clara M. ^[1]
  1. [1] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 12, Nº. 1, 2011, págs. 41-47
• Idioma: inglés
• DOI: 10.4995/agt.2011.1700
• Enlaces
  • Texto completo
• Resumen

  • In this paper a Kuratowski-Mrówka type characterization of fibrewisecompact topological spaces is presented.

• Referencias bibliográficas
  • J. Adámek, H. Herrlich and G. E. Strecker, Abstract and Concrete Categories. The Joy of Cats, Wiley & Sons, 1990.
  • N. Bourbaki, General Topology, Addison Wesley, 1966.
  • D. Buhagiar, The category MAP, Mem. Fac. Sci. Eng. Shimane Univ. Series B: Mathematical Science, 34 (2001), 1–19.
  • E. Cech, Topological spaces, John Wiley and Sons, 1966.
  • M. M. Clementino, On categorical notions of compact objects, Appl. Cat. Struct. 4 (1996), 15–29. http://dx.doi.org/10.1007/BF00124111
  • M. M. Clementino, E. Giuli and W. Tholen, Topology in a category: compactness, Portugal. Math. 53 (1996), 397–433.
  • A. Dold, Fibrewise topology, by I. M. James. Book reviews, Bulletin (New Series) of the American Mathematical Society, 24 No. 1 (Jan., 1991),...
  • H. Herrlich, G. Salicrup and G. E. Strecker, Factorizations, denseness, separation and relatively compact objects, Topology Appl. 27 (1987),...
  • I. M. James, Fibrewise Topology, Cambridge University Press, 1989. http://dx.doi.org/10.1017/CBO9780511896835
  • E. G. Manes, Compact, Hausdorff objects, Gen. Topology Appl. 4 (1974), 341–360. http://dx.doi.org/10.1016/0016-660X(74)90011-7
  • G. Richter, Exponentiability for maps means fibrewise core-compactness, J. Pure Appl. Algebra 187 (2004), 295–303. p://dx.doi.org/10.1016/S0022-4049(03)00128-2
  • S. Willard, General Topology, Addison-Wesley Publishing Company, 1970.