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. Castillo<http://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 _______________________________________________ Banach mailing list Banach@mathdept.okstate.edu<mailto:Banach@mathdept.okstate.edu> http://cauchy.math.okstate.edu/cgi-bin/mailman/listinfo/banach