Abstract:We prove in particular that a continuous image of a Valdivia compact space is Corson provided it contains no homeomorphic copy of the ordinal segment $[0,\omega _1]$. This generalizes a result of R. Deville and G. Godefroy who proved it for Valdivia compact spaces. We give also a refinement of their result which yields a pointwise version of retractions on a Valdivia compact space.
Keywords: Corson compact space, Valdivia compact space, continuous image, ordinal segment
AMS Subject Classification: 54C05, 54D30