From: Richard Garner <richard.garner@mq.edu.au>
To: categories@mta.ca
Subject: categories: Re: Sheaves as a localisation of separated presheaves
Date: Tue, 31 Jan 2023 09:53:30 +1100 [thread overview]
Message-ID: <E1pN1f5-0002wu-Ta@rr.mta.ca> (raw)
In-Reply-To: <m1k013bqiq.fsf@mq.edu.au>
> the localisation functor Psh(C) --> Psh(C)[D^-1], which obviously
> preserves colimits,
Here it is perhaps better to say "which does not obviously preserve
colimits". But the point remains the same: Psh(C) --> Psh(C)[D^-1] is
localisation in the wrong 2-category, CAT rather than COCTS.
Richard
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
prev parent reply other threads:[~2023-02-01 1:12 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <m1357sgsxp.fsf@bogos-MBP.lan>
2023-01-30 22:34 ` Richard Garner
2023-02-01 7:16 ` Vaughan Pratt
[not found] ` <m1k013bqiq.fsf@mq.edu.au>
2023-01-30 22:53 ` Richard Garner [this message]
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