German for “Contiguous Simplicial Maps”

German for “Contiguous Simplicial Maps”
$\begingroup$

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.

$\endgroup$
4

1 Answer

$\begingroup$

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.

$\endgroup$
1

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

James H. Sterling
Author

James H. Sterling

James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.