Skeletally generated spaces and absolutes

preprint2014arXivOpen access

Abstract

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

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