A Valdivia compact space with no $G_{\delta }$ points and few nontrivial convergent sequences

Abstract

We give an example of a Valdivia compact space with no $G_{\delta }$ points and no nontrivial convergent sequences in the complement of a dense $\Sigma$-subset. The example is related to a problem concerning twisted sums of Banach spaces.

The main part of this article has been merged with arXiv:1505.06727