Author

Grigory Ivanov

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Preprint Jul 2026

Optimality of no-dimensional bounds in Banach spaces

We discuss lower-bound constructions for several no-dimensional theorems of combinatorial geometry in Banach spaces. The common mechanism is the Maurey--Pisier theorem: the supremal Rademacher type of a Banach space forces finite-dimensional \(\ell_p\)-structures, and standard-coordinate configurations in these model s...

Grigory Ivanov, V. Kadets · 0 citations