A strong boundedness result for separable Rosenthal compacta
Pandelis Dodos
TL;DR
This paper proves that the class of separable Rosenthal compacta on the Cantor set with a uniformly bounded dense sequence of continuous functions is strongly bounded, establishing a significant boundedness property.
Contribution
It introduces a strong boundedness result for a specific class of separable Rosenthal compacta, advancing understanding of their structural properties.
Findings
The class of such compacta is strongly bounded.
The result applies to compacta with a dense sequence of continuous functions.
It enhances the theoretical framework of Rosenthal compacta.
Abstract
It is proved that the class of separable Rosenthal compacta on the Cantor set having a uniformly bounded dense sequence of continuous functions, is strongly bounded.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Harmonic Analysis Research · Advanced Topology and Set Theory