Data di Pubblicazione:
2020
Citazione:
On compact trees with the coarse wedge topology / J. Somaglia. - In: STUDIA MATHEMATICA. - ISSN 0039-3223. - 2020:253(2020), pp. 283-306. [10.4064/sm190115-20-3]
Abstract:
We investigate the class of compact trees, endowed with the coarse wedge topology, in connection with the area of non-separable Banach spaces. We describe Val- divia compact trees in terms of inner structures and we characterize the space of contin- uous functions on them. Moreover we prove that the space of continuous functions on an arbitrary tree with height less than ω1 · ω0 is a Plichko space.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
tree, coarse wedge topology, Valdivia compacta, Plichko spaces.
Elenco autori:
J. Somaglia
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