From: "Townsend, Christopher" <Christopher.Townsend@rbccm.com>
To: <categories@mta.ca>
Subject: Paper on slice stability in Locale Theory
Date: Thu, 31 Jul 2008 09:09:12 +0100 [thread overview]
Message-ID: <E1KQXSl-0001OP-TM@mailserv.mta.ca> (raw)
I was sorry not to be at the Calais meeting the other week and had hoped
to have the paper
Aspects of slice stability in Locale Theory
http://www.christophertownsend.org/Documents/SliceStability_v30.pdf
ready for it.
This paper proves that a particular axiomatic approach to locale theory
is slice stable and then uses this slice stability to prove some known
locale theory/topos theory results.
All the results are known (aside from a conjecture on localic
subgroupoids) so it is really an investigation into this particular
axiomatisation rather than a presentation of new results.
It gives what I think is a novel proof of the well known slice stability
result: Loc/Y = Loc_Sh(Y).
Feedback is welcome. For example, I have always attributed the result
Loc/Y = Loc_Sh(Y) to Joyal and Tierney. Am I right?
Regards, Christopher
next reply other threads:[~2008-07-31 8:09 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2008-07-31 8:09 Townsend, Christopher [this message]
2008-08-06 15:00 Prof. Peter Johnstone
2008-08-08 20:40 Michael Fourman
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