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From: "Robert L. Knighten" <Robert@Knighten.org>
To: categories@mta.ca
Subject: Re: Uniform spaces
Date: Wed, 27 Aug 2003 17:49:32 -0700	[thread overview]
Message-ID: <16205.20892.688285.551954@gargle.gargle.HOWL> (raw)
In-Reply-To: <Pine.LNX.4.44.0308271647390.21720-100000@ssh.ihes.fr>

Tom Leinster writes:
 > Hello,
 >
 > Does anyone know of any account of the basic properties of the category of
 > uniform spaces?  I'm after things like (co)limits, cartesian closure, and
 > (co)limit-preservation by the forgetful functor to Top.  Bourbaki gets me
 > some of the way, but his decision not to use categorical language and
 > the resulting circumlocutions make it a struggle.
 >
 > Thanks,
 > Tom

It was written fairly early in the development of the category theory, but

John R. Isbell
Uniform Spaces
Mathematical Surveys Number 12
American Mathematical Society
xi+175pp, 1964 (Providence, Rhode Island)

covers much of the territory and definitely with a categorical perspective.

-- Bob

-- 
Robert L. Knighten
Robert@Knighten.org






  parent reply	other threads:[~2003-08-28  0:49 UTC|newest]

Thread overview: 5+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2003-08-27 14:51 Tom Leinster
2003-08-27 20:21 ` Michael Barr
2003-08-28  0:49 ` Robert L. Knighten [this message]
2003-09-02 20:16 ` Oswald Wyler
2003-08-27 17:13 Peter Freyd

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