Acta Mathematica Hungarica

, Volume 140, Issue 3, pp 203–231

Baire generalized topological spaces, generalized metric spaces and infinite games

  • Ewa Korczak-Kubiak
  • Anna Loranty
  • Ryszard J. Pawlak
Article

DOI: 10.1007/s10474-013-0304-1

Cite this article as:
Korczak-Kubiak, E., Loranty, A. & Pawlak, R.J. Acta Math Hung (2013) 140: 203. doi:10.1007/s10474-013-0304-1

Abstract

Different generalizations of topological Baire spaces to the case of generalized topological spaces are considered and the properties of such spaces are examined. In particular, these considerations are focused on the relationship between Baire generalized topological spaces and semi-continuous real functions and infinite games. The notion of generalized metric spaces corresponding to generalized topological spaces is introduced as an important tool in this discussion.

Key words and phrases

generalized topological spaceBaire propertysemi-continuous functiongeneralized metric spaceset valued functionBanach–Mazur gameset function game

Mathematics Subject Classification

54A0554C3091A0591A0654C60

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2013

Authors and Affiliations

  • Ewa Korczak-Kubiak
    • 1
  • Anna Loranty
    • 1
  • Ryszard J. Pawlak
    • 1
  1. 1.Łódź UniversityFaculty of Mathematics and Computer ScienceŁódźPoland