Hom(X, Y) is always a set, calling it a homspace seems (to me) to
imply some more specific kind of structure, for example (but not
necessarily) a vector space. It's nice to always use the same term
everywhere for consistency. Homspace is a lot less common:

http://www.google.com/search?q=define:homspace (7,940 results, no definition)
http://www.google.com/search?q=define:homset (347,000 results, definition found)

On Thu, May 26, 2011 at 5:40 PM, Kwankyu Lee <ekwan...@gmail.com> wrote:
> Hi,
>
> I am confused with the usage of "Homset" and "Homspace". It seems to me that
> each author choose his/her favorite among "Homset" and "Homspace". But is
> there a reason to prefer one over the other for new modules? Or do they have
> distinct usage? I am asking this because at some point William changed some
> "Homspace" to "Homset"
>
>
> Kwankyu
>
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