Skeletally generated spaces and absolutes

Abstract

Some properties of skelatally generated spaces are established. In particular, it is shown that any compactum co-absolute to a $\kappa$-metrizable compactum is skeletally generated. We also prove that a compactum $X$ is skeletally generated if and only if its superextension $\lambda X$ is skeletally Dugundji and raise some natural questions.