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arXiv · 1210.0656

Boundedness of pretangent spaces to general metric spaces

Viktoriia Bilet·Oleksiy Dovgoshey
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Abstract

Let (X,d,p) be a metric space with a metric d and a marked point p. We define the set of w-strongly porous at 0 subsets of [0,\infty) and prove that the distance set {d(x,p): x\in X} is w-strongly porous at 0 if and only if every pretangent space to X at p is bounded.

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BibTeXRIS

Viktoriia Bilet, Oleksiy Dovgoshey. 2012-10-02. Boundedness of pretangent spaces to general metric spaces. https://arxiv.org/abs/1210.0656

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