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arxiv: 0903.4676 · v2 · submitted 2009-03-26 · 🧮 math.MG · math.CA

Metric spaces with unique pretangent spaces

classification 🧮 math.MG math.CA
keywords spacesmetricspacetangentpretangentuniquearbitrarycantor
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We find necessary and sufficient conditions under which an arbitrary metric space $X$ has a unique pretangent space at the marked point $a\in X$. Key words: Metric spaces; Tangent spaces to metric spaces; Uniqueness of tangent metric spaces; Tangent space to the Cantor set.

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