arXiv:1512.02610 Abstract | arXiv Analytics

arXiv:1512.02610 [math.GN]Abstract References Reviews Resources

Small Valdivia compacta and trees

Published 2015-12-08Version 1

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.

Comments: 18 pages

Categories: math.GN

Subjects: 54D30, 54G20, 06A06, 54A35

Keywords: small valdivia compacta, valdivia compact spaces, open problem concerning twisted sums, small weight, path spaces

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