Re: Categories and functors, query

["R Brown" <ronnie.profbrown@btinternet.com>]

There is another curiosity about the axioms for a category, namely the
infuence of the known axioms for a groupoid (Brandt, 1926). Bill Cockcroft
told me that these axioms had influenced E-M. These axioms were well used in
the algebra group at Chicago.  However when I asked Sammy about this in 1985
he firmly said `no, and was why the notion of groupoid did not appear as an
example in the E-M paper'!

Perhaps it was a case of forgetting the influence?

Ronnie




----- Original Message -----
From: "Johannes Huebschmann" <huebschm@math.univ-lille1.fr>
To: <categories@mta.ca>
Sent: Saturday, September 06, 2008 11:48 AM
Subject: categories: Categories and functors, query


> Dear All
>
> I somewhat recall that, a while ago, we discussed the origins of
> the notions of category and functor. S. Mac Lane had once pointed
> out to me these origins but from my recollections we did not
> entirely reproduce them.
>
> In his paper
>
> Samuel Eilenberg and Categories, JPAA 168 (2002), 127-131
>
> Saunders Mac Lane clearly pointed out the origins:
>
> "Category" from Kant (which I had known all the time)
>
> "Functor" from Carnap's book "Logical Syntax of Language" (which I
> had forgotten).
>
>
> Also I have a question, not directly related to the above issue:
>
> I have seen, on some web page, a copy of
> the referee's report about the Eilenberg-Mac Lane paper
> where Eilenberg-Mac Lane spaces are introduced.
> I cannot find this web page (or the report)
> any more. Can anyone provide me with
> a hint where I can possibly find it?
>
> Many thanks in advance
>
> Johannes
>
>
>
> HUEBSCHMANN Johannes
> Professeur de Mathematiques
> USTL, UFR de Mathematiques
> UMR 8524 Laboratoire Paul Painleve
> F-59 655 Villeneuve d'Ascq Cedex  France
> http://math.univ-lille1.fr/~huebschm
>
> TEL. (33) 3 20 43 41 97
>      (33) 3 20 43 42 33 (secretariat)
>      (33) 3 20 43 48 50 (secretariat)
> Fax  (33) 3 20 43 43 02
>
> e-mail Johannes.Huebschmann@math.univ-lille1.fr
>
>
>


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