Finitely fibered Rosenthal compacta and trees
Wies{\l}aw Kubi\'s, An\'ibal Molt\'o
TL;DR
This paper investigates the topological properties of trees with the interval topology, characterizing those with 2-fibered compactifications and providing examples of trees with Rosenthal compact one-point compactifications exhibiting specific renorming properties.
Contribution
It introduces a characterization of trees admitting 2-fibered compactifications and presents new examples of trees with Rosenthal compactifications with particular renorming features.
Findings
Characterization of trees with 2-fibered compactifications
Examples of trees with Rosenthal compact one-point compactifications
Identification of renorming properties of continuous function spaces
Abstract
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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