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arxiv: 0910.1360 · v2 · pith:D5EEJGXAnew · submitted 2009-10-07 · 🧮 math.GN · math.FA

Finitely fibered Rosenthal compacta and trees

classification 🧮 math.GN math.FA
keywords treesfiberedpropertiesrosenthaladmitcertaincharacterizecompact
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We study some topological properties of trees with the interval topology. In particular, we characterize trees which admit a 2-fibered compactification and we present two examples of trees whose one-point compactifications are Rosenthal compact with certain renorming properties of their spaces of continuous functions.

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