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I’ve added the following definition to power set
I’ve seen appear in discussions (as as a simple thing everybody knows) but sometimes there iis confusion about its properties. Could it use its own page?
(as usual I may be confused/misguided here)
I would say feel free to create a page Inj.
The only thing I’ll say for now is that I’m not convinced is the best notation. It seems more usual practice to name a category after its objects than after its morphisms; for this reason, instead of , I might consider . (Elsewhere we do refer to a category who objects are monomorphisms or injections between sets and whose morphisms are commutative squares, so while is untaken, I’m just slightly leery about it.)
Todd, I considered making the same comment. Unfortunately, is difficult to use as a name for an nLab page… Maybe this should just go on the page injection?
Yeah, a dedicated section on this category at injection might not be a bad idea. Finite sets and injections is also a category of note that could be written about (semicartesian operads, Schanuel topos, etc.) – or maybe we already have something on this?
I would prefer to have a separate page for that also describes . Of course the page should actually be named something like “category of injections between sets” and various alternative abbreviations of the category names can be given there.
Having such a page would help find where these categories are used in the nLab if things are linked correctly. It is rather hard to find mention of these categories by Googling for such common words as “category” and “injection”.
Okay, Rod, that sounds good to me.
Was anything created?
I’ve finally made Inj. Comments should go to nForum:Inj
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