Ivan Shishkin, Birch Grove

Isométrie

Definition / Topology / Usable

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Usable. This concept is clear enough to use, but has not yet been reviewed by another trusted user.

Une isométrie entre deux espaces métriques (X,d)(X,d) et (X′,d′)(X',d') est une application f:X→X′f:X \rightarrow X' préservant les distances, c’est-à-dire que, pour tous x,y∈Xx,y\in X, on a :
d′(f(x),f(y))=d(x,y).d'(f(x),f(y))=d(x,y).

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