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Small Valdivia compacta and trees

Volume 235 / 2016

Claudia Correa, Daniel V. Tausk 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.

Authors

  • Claudia CorreaDepartamento de Matemática
    Universidade de São Paulo
    São Paulo, Brazil
    e-mail
  • Daniel V. TauskDepartamento de Matemática
    Universidade de São Paulo
    São Paulo, Brazil
    e-mail

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