Re: pullback ...

Greetings! As regards Peter <P.T.Johnstone@dpmms.cam.ac.uk> 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