Banach spaces and Ramsey Theory: some open problems
Pandelis Dodos, Jordi Lopez-Abad, Stevo Todorcevic
TL;DR
This paper explores open problems at the intersection of Banach space geometry and Ramsey theory, highlighting known results and proposing directions for future research.
Contribution
It introduces and discusses open problems linking Banach space geometry with Ramsey theory, providing context with existing results.
Findings
Identification of key open problems in Banach spaces and Ramsey theory
Connections established between geometric properties and combinatorial principles
Guidance for future research directions in the field
Abstract
We discuss some open problems in the Geometry of Banach spaces having Ramsey-theoretic flavor. The problems are exposed together with well known results related to them.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Topology and Set Theory · Functional Equations Stability Results