Introduces dyadic tree index and sprawling tree index as linear and bi-Lipschitz invariants of Banach spaces, characterized by sub-Lipschitz embeddability of dyadic and countably branching diamond graphs of ordinal height, with links to fragmentability indices.
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On metric characterizations of tree and fragmentability indices of Banach spaces
Introduces dyadic tree index and sprawling tree index as linear and bi-Lipschitz invariants of Banach spaces, characterized by sub-Lipschitz embeddability of dyadic and countably branching diamond graphs of ordinal height, with links to fragmentability indices.