k-semistratifiable spaces and expansions of set-valued mappings

• Autores: Peng-Fei Yan, Xing-Yu Hu, Li-Hong Xie
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 19, Nº. 1, 2018, págs. 145-153
• Idioma: inglés
• DOI: 10.4995/agt.2018.7883
• Enlaces
  • Texto completo
• Resumen

  • In this paper, the concept of k-upper semi-continuous set-valued mappings is introduced. Using this concept, we give characterizations of k-semistratifiable and k-MCM spaces, which answers a question posed by Xie and Yan.

• Referencias bibliográficas
  • G. D. Creede, Semi-stratifiable, in: Proc Arizona State Univ Topological Conf. (1967, 1969), 318-323.
  • R. Engelking, General topology, Revised and completed edition, Heldermann Verlag, 1989.
  • C. Good, R. Knight and I. Stares, Monotone countable paracompactness, Topology Appl. 101 (2000), 281-298. https://doi.org/10.1016/S0166-8641(98)00128-X
  • D. L. Lutzer, Semistratifiable and stratifiable, General Topology Appl. 1 (1971), 43-48. https://doi.org/10.1016/0016-660X(71)90109-7
  • J. Mack, On a class of countably paracompact spaces, Proc. Amer. Math. Soc. 16 (1965), 467-472. https://doi.org/10.1090/S0002-9939-1965-0177388-1
  • C. Pan, Monotonically CP spaces, Questions Ans. Gen. Topol. 15 (1997) 25-32.
  • L. X. Peng and S. Lin, On monotone spaces and metrization theorems, Acta. Math. Sinica 46 (2003), 1225-1232 (in Chinese).
  • L.-H. Xie, The insertions of semicontinuous functions and strafiable spaces, Master's thesis, Jiangmen: Wuyi University, 2010.
  • L.-H. Xie and P.-F. Yan, Expansions of set-valued mappings on stratifiable spaces, Houston J. Math. 43 (2017), 611-624.
  • K. Yamazaki, Locally bounded set-valued mappings and monotone countable paracompactness, Topology Appl. 154 (2007), 2817-2825. https://doi.org/10.1016/j.topol.2007.05.015