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Definition 2

[0TK] Given \((M_ 1,d_ 1)\) and \((M_ 2,d_ 2)\) metric spaces, a map \(πœ‘:M_ 1β†’ M_ 2\) is called an isometry if

\begin{equation} βˆ€ x,y∈ M_ 1, ~ ~ d_ 1(x,y)=d_ 2(πœ‘(x),πœ‘(y))~ ~ .\label{eq:isometria} \end{equation}
3

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