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arXiv · 1808.08534

Non-expansive bijections, uniformities and polyhedral faces

Carlos Angosto·Vladimir Kadets·Olesia Zavarzina
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Abstract

We extend the result of B. Cascales at al. about expand-contract plasticity of the unit ball of strictly convex Banach space to those spaces whose unit ball is the union of all its finite-dimensional polyhedral extreme subsets. We also extend the definition of expand-contract plasticity to uniform spaces and generalize the theorem on expand-contract plasticity of totally bounded metric spaces to this new setting.

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Carlos Angosto, Vladimir Kadets, Olesia Zavarzina. 2018-08-26. Non-expansive bijections, uniformities and polyhedral faces. https://arxiv.org/abs/1808.08534

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