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From: "Joyal, André" <joyal.andre@uqam.ca>
To: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>,
	Richard Garner	<richard.garner@mq.edu.au>
Cc: "categories@mta.ca" <categories@mta.ca>
Subject: Re: characterization of flp endofucntors on Set?
Date: Tue, 23 Oct 2018 16:24:59 +0000	[thread overview]
Message-ID: <E1gF5YF-0005pk-2Y@mlist.mta.ca> (raw)
In-Reply-To: <E1gEyVT-0004AK-BW@mlist.mta.ca>

To Thomas and Richard,

I have a question regarding certain finite limit preserving functors Set-->Set.

If L is a locale, then the functor Hom(L,-):Set-->Set preserves finite limits, 
where  Hom(L,X) denotes the set of  morphisms of locales L-->X for a discrete locale X. 
Is there is a simple characterization of these flp functors?

Best,
André



________________________________________
From: Thomas Streicher [streicher@mathematik.tu-darmstadt.de]
Sent: Tuesday, October 23, 2018 4:56 AM
To: Richard Garner
Cc: categories@mta.ca
Subject: categories: Re: characterization of flp endofucntors on Set?

Dear Richard,

thanks for your answer. Offline I have received a reply by Jonas Frey
which answers my question satisfactorily.
Let U be a Groth. universe then Lex(U,Set) consists of filtered/directed
colimits of representables. Accordingly, Lex(U,U) is equivalent to the
full subcat of Set^U on U-small directed colimits of representables.

But that sounds related to what Blass says, isn't it.

Best, Thomas



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  reply	other threads:[~2018-10-23 16:24 UTC|newest]

Thread overview: 6+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
     [not found] <1540252918.3297329.1551071616.650AD098@webmail.messagingengine.com>
2018-10-23  8:56 ` Thomas Streicher
2018-10-23 16:24   ` Joyal, André [this message]
     [not found] <8C57894C7413F04A98DDF5629FEC90B147A54657@Pli.gst.uqam.ca>
2018-10-24 10:56 ` Thomas Streicher
     [not found] <8064398f1cab41cca1233e5714fbf6dc@ME2PR01MB2756.ausprd01.prod.outlook.com>
2018-10-22 23:58 ` Richard Garner
     [not found] ` <1540252689.3296447.1551069960.4BC0C607@webmail.messagingengine.com>
2018-10-23  0:01   ` Richard Garner
2018-10-22 11:14 Thomas Streicher

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