I use endofunctor very often (and even endo-1-cell, but not yet endofunction). I also use terms monopresheaf (for separated sheaf) and epipresheaf (for the complementary presheaf property to sheaf), but the fate of such good notation which is not generally accepted is risky. That is why I am interested. So the answer is the category theory community, thanx Todd!

]]>Zoran, it’s my impression that the term is widely used in the categorical community. I doubt it’s all that common in the set theory literature. A number of hits indicate to me that its meaning is widely understood amongst computer scientists, and also among combinatorialists.

]]>If you don’t like that term

On the contrary! But still wanted to get a straightfoward answer.

Urs: google does not give much of an impression on WHO uses the term. (e.g. Wikipedia gives one line entry. Most of the hits are non-mathematical.) E.g. is it in american math textbooks ? Which area of math has this terminology as standard ? Set theorists ?

]]>A lot of people use the term. I know I do! (There are of course many such bastards in English, e.g., ’television’.)

]]>If you don't like that term, there are five other redirects (not counting plurals).

Etymologically, it is a bastard, I'll grant you that!

]]>Ask Google and you’ll get answers.

]]>Who uses the term ? References ?

]]>I don't know why we never had endofunction, but we didn't; now we do.

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