This is an announcement for the paper “Nonseparable $C(K)$-spaces can be twisted when $K$ is a finite height compact” by Jesús M. F. Castillohttp://arxiv.org/find/math/1/au:+Castillo_J/0/1/0/all/0/1.

Abstract: We show that, given a nonmetrizable compact space K having ω-derived set empty, there always exist nontrivial exact sequences 0→c0→E→C(K)→0. This partially solves a problem posed in several papers: Is Ext(C(K),c0)≠0 for K a nonmetrizable compact set?

The paper may be downloaded from the archive by web browser from URL

http://arxiv.org/abs/1601.02037

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