• Baire spaces and Vietoris hyperspaces

      Cao, J; Garcia Ferreira, S; Gutev, V (The American Mathematical Society, 2007)
      We prove that if the Vietoris hyperspace CL(X) of all nonempty closed subsets of a space X is Baire, then all finite powers of X must be Baire spaces. In particular, there exists a metrizable Baire space whose Vietoris ...