categories - Category Theory list
 help / color / mirror / Atom feed
From: JeanBenabou <jean.benabou@wanadoo.fr>
To: Albert Burroni <burroni@math.jussieu.fr>, Categories <categories@mta.ca>
Subject: Re: Re: source, sinks, and ?
Date: Tue, 4 Jan 2011 09:41:46 +0100	[thread overview]
Message-ID: <E1Pa7Zm-000695-Fb@mlist.mta.ca> (raw)
In-Reply-To: <E1PZuA7-0003uq-OJ@mlist.mta.ca>

Dear Albert,

I "half agree" with you. The term "matrix" has been used by by Freyd- 
Scedrov in their allegories, by myself in my paper on distributors,  
and probably by many other persons.
However in both cases the situation was such that one could define  
the "product" of two matrixes and get an allegory or more generally a  
bi-category, and I suggest it should be restricted to such cases. In  
the general situation where the product is not defined, I suggest the  
word "array" (with entries in C, if we want to specify C)

Bonnne Année,
Jean


Le 3 janv. 11 à 23:40, burroni@math.jussieu.fr a écrit :

> Dear Mike,
>
> In fact, we can call it a matrix (of (I x J)- type)  with  
> coefficients in the category. When the category is a category of  
> modules, we have that way a natural generalization of classical  
> matrices.
>
> Cheers,
> Albert
>

[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


  reply	other threads:[~2011-01-04  8:41 UTC|newest]

Thread overview: 4+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2011-01-02 23:26 Michael Shulman
2011-01-03 22:40 ` burroni
2011-01-04  8:41   ` JeanBenabou [this message]
2011-02-04 18:48 ` Tom Prince

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to=E1Pa7Zm-000695-Fb@mlist.mta.ca \
    --to=jean.benabou@wanadoo.fr \
    --cc=burroni@math.jussieu.fr \
    --cc=categories@mta.ca \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).