On projectional skeletons in Vas\'ak spaces

Abstract

We provide an alternative proof of the theorem saying that any Vas\'ak (or, weakly countably determined) Banach space admits a full 1-projectional skeleton. The proof is done with the use of the method of elementary submodels and is comparably simple as the proof given by W.~Kubi\'s (2009) in case of weakly compactly generated spaces.

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