# Topological aspects of the Dvoretzky Theorem

**Authors:** Dmitri Burago, Sergei Ivanov, Serge Tabachnikov

arXiv: 0907.5041 · 2009-07-30

## TL;DR

This paper investigates the potential and constraints of applying topological methods to understand and prove the Dvoretzky Theorem in convex geometry.

## Contribution

It provides a detailed analysis of how topological techniques can be used and where their limitations lie in the context of the Dvoretzky Theorem.

## Key findings

- Topological approaches offer valuable insights but have inherent limitations.
- Certain aspects of the Dvoretzky Theorem cannot be fully addressed by topology alone.
- The study clarifies the scope of topological methods in convex geometric theorems.

## Abstract

We explore possibilities and limitations of a purely topological approach to the Dvoretzky Theorem.

## Full text

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## References

19 references — full list in the complete paper: https://tomesphere.com/paper/0907.5041/full.md

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Source: https://tomesphere.com/paper/0907.5041