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German for “contiguous simplicial maps”

By Abigail Rogers
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Is there an established German word for “contiguous” in the sense of contiguous simplicial maps?


Background

Definition. Two simplicial maps $f$ and $g$ from $\mathcal K$ to $\mathcal L$ are called contiguous, if whenever $S$ is the set of vertices of a simplex of $\mathcal K$ the set $f[S]\cup g[S]$ is the set of vertices of a simplex of $\mathcal L$.

I am teaching a class in German, and I will go with „benachbart“, if no-one knows a better word. I would look if the concept is used in Seifert and Threlfall, but I do not have it at hand.

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1 Answer

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The German term "benachbart" seems appropriate - see e.g.

(1) 15.3 in Carsten Schultz' Seiten

(2) p. 31 in Eberhard Schock.Konvergente Iterationsverfahren für flach konvexe Banachräume

For the second I am not sure if the meaning is identical to yours though.

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