Abstract
In this note I will show any distance reducing mapping f: M → ℓn, where M is a finite subset of ℓm (m ≤ n), can be extended to a piecewise conqruent mapping f: ℓm → ℓn.
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Brehm, U. Extensions of distance reducing mappings to piecewise congruent mappings on ℓm . J Geom 16, 187–193 (1981). https://doi.org/10.1007/BF01917587
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DOI: https://doi.org/10.1007/BF01917587