From: Marta Bunge <marta.bunge@mcgill.ca>
To: <chichejonathan@gmail.com>, <categories@mta.ca>
Subject: RE: Adjunctions and fibrations in 2-Cat
Date: Mon, 28 Feb 2011 11:00:27 -0500 [thread overview]
Message-ID: <E1PuCRp-0008Sn-Kk@mlist.mta.ca> (raw)
In-Reply-To: <20110228150904.7A4EE6833@mailscan1.ncs.mcgill.ca>
Dear Jonathon,
A definition of 2-fibration is given in the following sources:Claudio Hermida, "Some properties of Fib as a fibered 2-category", J. Pure Appl. Alg. 134-1 (1999) 83-109.Claudio Hermida, "Descebt on 2-fibrations and strongly 2-regular 2-categories", App. Cat. Str. 12 (2004) 427--459.
It is adopted (Definition 4.1) and used in Marta Bunge and Claudio Hermida, 'Pseudomonadicity and 2-stack completions", Proceedings of the MakkaiFest, CRM Proceedings and Lecture Notes, to appear 2011, a preprint of which I shall send to anyone requesting it.
Best wishes,Marta Bunge
************************************************
Marta Bunge
Professor Emerita
Dept of Mathematics and Statistics
McGill UniversityBurnside Hall, Office 1005
805 Sherbrooke St. West
Montreal, QC, Canada H3A 2K6
Office: (514) 398-3810/3800
Home: (514) 935-3618
marta.bunge@mcgill.ca
http://www.math.mcgill.ca/~bunge/
************************************************
> To: categories@mta.ca
> From: chichejonathan@gmail.com
> Subject: categories: Adjunctions and fibrations in 2-Cat
> Date: Mon, 28 Feb 2011 12:15:27 +0100
>
> Dear all,
>
> Is the notion of adjunction in 2-Cat well-understood? Here, 2-Cat
> stands for a 3-category the objects of which are 2-categories. I am
> mainly interested in the case where everything is strict, but
> comments on the non-strict cases are welcome.
>
> There has been a discussion recently about what should be the
> definition of fibration in an arbitrary 2-category. I do not expect
> the notion to be defined for general 3-categories, but is there at
> least a definition for the notion of fibration in 2-Cat?
>
> Many thanks in advance for your help!
>
> Jonathan Chiche
>
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next parent reply other threads:[~2011-02-28 16:00 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <20110228150904.7A4EE6833@mailscan1.ncs.mcgill.ca>
2011-02-28 16:00 ` Marta Bunge [this message]
2011-02-28 11:15 Jonathan CHICHE 齊正航
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