Small Valdivia compacta and trees
Volume 235 / 2016
Studia Mathematica 235 (2016), 117-135
MSC: Primary 54D30, 54G20, 06A06; Secondary 54A35.
DOI: 10.4064/sm8477-7-2016
Published online: 30 September 2016
Abstract
We present a characterization of Valdivia compact spaces of small weight in terms of path spaces of trees and we use it to obtain (under $\diamondsuit $) a counterexample to a conjecture related to an open problem concerning twisted sums of $C(K)$ spaces.
