Document Type
Lecture
Publication Date
3-23-2005
Abstract
Roughly speaking, Ramsey's theorem states that if you color all infinite subsequences of the natural numbers (ℕ) with finitely many colors, you can pass to some subsequence �� of ℕ so that all subsequences of �� have the same color. We will give an overview of the applications of this theorem to the theory of classifications of Banach spaces and concentrate on a recent result by E. Odell and the speaker, which led to the solutions of several problems in the theory of Banach spaces.
Relational Format
presentation
Recommended Citation
Schlumprecht, Thomas, "Applications of Ramsey’s Theorem to Banach Spaces" (2005). Analysis Seminar. 51.
https://egrove.olemiss.edu/math_analysis/51
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