# German translation for “well-powered category”

A category is called well-powered if the partial order of subobjects of any object is a set. Is there a German translation which is well-established in the literature? I don't want to use the English term in a German text.

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I am curious whether there is something available in: mat.univie.ac.at/~kriegl/Skripten/category.pdf –  Suvrit Nov 14 '10 at 9:57
'Teilobjekt' only occurs once so my guess is no. –  Torsten Ekedahl Nov 14 '10 at 10:05
@Torsten: "Unterobjekt". @Suvrit: No. –  Martin Brandenburg Nov 14 '10 at 11:29
I nominate Wohltemperierte Klavier. –  Will Jagy Nov 14 '10 at 21:44

## 1 Answer

Pareigis and Schubert both use "lokal klein" in their textbooks. Of course there is a clash with the other meaning of "locally small" (i.e. that Hom(a,b) is always a set), but this is usually satisfied by their definitions of category.

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Hm, I don't like this clash. Perhaps I will use another term. Thanks for the reference. –  Martin Brandenburg Nov 14 '10 at 21:50