6533b7dafe1ef96bd126edf4

RESEARCH PRODUCT

Finitely fibered Rosenthal compacta and trees

Wiesław KubiśWiesław KubiśAníbal Moltó

subject

Pure mathematics54D30 46B03 46E15 54C35 54G12Algebra and Number TheoryApplied MathematicsGeneral Topology (math.GN)Fibered knotMathematics::General TopologyFunctional Analysis (math.FA)Mathematics - Functional AnalysisComputational MathematicsFOS: MathematicsCompactification (mathematics)Geometry and TopologyAnalysisMathematics - General TopologyMathematics

description

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.

10.1007/s13398-011-0006-xhttp://dx.doi.org/10.1007/s13398-011-0006-x