MathDB
Miklos Schweitzer 1970_5

Source:

October 22, 2008
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Problem Statement

Prove that two points in a compact metric space can be joined with a rectifiable arc if and only if there exists a positive number K K such that, for any ε>0 \varepsilon>0, these points can be connected with an ε \varepsilon-chain not longer that K K. M. Bognar
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