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.
Keywords:
present characterization valdivia compact spaces small weight terms path spaces trees obtain under diamondsuit counterexample conjecture related problem concerning twisted sums spaces
Affiliations des auteurs :
Claudia Correa
1
;
Daniel V. Tausk
1
1
Departamento de Matemática Universidade de São Paulo São Paulo, Brazil
@article{10_4064_sm8477_7_2016,
author = {Claudia Correa and Daniel V. Tausk},
title = {Small {Valdivia} compacta and trees},
journal = {Studia Mathematica},
pages = {117--135},
year = {2016},
volume = {235},
number = {2},
doi = {10.4064/sm8477-7-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8477-7-2016/}
}
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AU - Claudia Correa
AU - Daniel V. Tausk
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%J Studia Mathematica
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Claudia Correa; Daniel V. Tausk. Small Valdivia compacta and trees. Studia Mathematica, Tome 235 (2016) no. 2, pp. 117-135. doi: 10.4064/sm8477-7-2016
