Hello, there might be references on a paper I had written with
late Prof. Joseph Goguen U California and Oxford on that subject,
UCLA 1978.
When was that invented?
Cyrus

---------[ Received Mail Content ]----------

Subject : categories: Re: pullback ...

Date : Tue, 06 Mar 2007 21:09:33 -0500

From : "Fred E.J. Linton" <fejlinton@usa.net>

To : <categories@mta.ca>

Greetings!

As regards Peter Johnstone's query,

> ... does anyone out there know who invented the

> terms "pullback" and "pushout"? ...,

while I can't speak directly to the question of who invented those

terms, I do recall that, in the late '50s already, fiber bundles

were being "pulled back" along maps to their base spaces. And I can

still hear the late Serge Lang, bless his soul, intoning "pooll-back"

and "poosh-out" in his characeristic French accent, in Columbia

courses and seminars from the late '50s and early '60s.

So the terms were pretty well established (and pull-back, anyway,

pretty well motivated), at least at Columbia, that early.

Cheers,

-- Fred