A classification of separable Rosenthal compacta and its applications
Spiros A. Argyros, Pandelis Dodos, Vassilis Kanellopoulos
TL;DR
This paper classifies separable Rosenthal compacta, extends a theorem of Todorcevic, and explores applications of these classifications in topology.
Contribution
It provides a comprehensive classification of separable Rosenthal compacta and extends existing theorems, offering new insights and applications.
Findings
Classification theorem for separable Rosenthal compacta
Extended theorem of S. Todorcevic
Applications in topology and analysis
Abstract
The present work consists of three parts. In the first one we determine the prototypes of separable Rosenthal compacta and we provide a classification theorem. The second part concerns an extension of a theorem of S. Todorcevic. The last one is devoted to applications.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory · Mathematical and Theoretical Analysis