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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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  • $\begingroup$ I am curious whether there is something available in: mat.univie.ac.at/~kriegl/Skripten/category.pdf $\endgroup$
    – Suvrit
    Commented Nov 14, 2010 at 9:57
  • $\begingroup$ 'Teilobjekt' only occurs once so my guess is no. $\endgroup$
    – Torsten Ekedahl
    Commented Nov 14, 2010 at 10:05
  • $\begingroup$ @Torsten: "Unterobjekt". @Suvrit: No. $\endgroup$
    – Martin Brandenburg
    Commented Nov 14, 2010 at 11:29
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    $\begingroup$ I nominate Wohltemperierte Klavier. $\endgroup$
    – Will Jagy
    Commented Nov 14, 2010 at 21:44

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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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    $\begingroup$ Hm, I don't like this clash. Perhaps I will use another term. Thanks for the reference. $\endgroup$
    – Martin Brandenburg
    Commented Nov 14, 2010 at 21:50

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