From: Robin Houston <robin.houston@gmail.com>
To: Ohad Kammar <ohad.kammar@ed.ac.uk>
Cc: Categories List <categories@mta.ca>
Subject: Re: Pullbacks of a family of arrows
Date: Thu, 9 Feb 2012 15:02:17 +0000 [thread overview]
Message-ID: <E1RvapL-00075F-5x@mlist.mta.ca> (raw)
In-Reply-To: <E1RvVHg-0005jO-QT@mlist.mta.ca>
Wide pullback or fibre product, I think.
Sent from my telephone
On 8 Feb 2012, at 20:29, Ohad Kammar <ohad.kammar@ed.ac.uk> wrote:
> What is the standard name for the limit of the diagram consisting of a morphism
> f : A --> C
> and an I-indexed family of morphisms
> g_i : B_i --> C
> where I is a set?
>
> This is a slight generalisation of pullbacks. I am really interested
> in the terminology for the following notion:
>
> A class of morphisms M is stable under such generalised pullbacks if,
> for all such limiting cones
> a : P --> A
> b_i : P --> B_i
> if g_i are all in M, then so is the morphism a : P --> A
>
> (This is a slight generalisation of stability of M under pullbacks.)
>
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prev parent reply other threads:[~2012-02-09 15:02 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2012-02-08 20:29 Ohad Kammar
2012-02-09 15:02 ` Robin Houston [this message]
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