From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: RE: question on finiteness in toposes
Date: Sun, 12 Jan 1997 16:42:23 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.970112164209.11499A-100000@mailserv.mta.ca> (raw)
Date: Sun, 12 Jan 97 01:31 EST
From: Fred E J Linton <0004142427@mcimail.com>
Supplementing Peter's answer to Streicher's K-finiteness question,
I recall Prop. 7.4 on p. 97 of SLNM #753, which states, for presheaf topoi
E = (C^op, Sets), that, with E_Kf the full subcategory of K-finite E-objects:
E_Kf is balanced
iff
it's a topos
iff
each K-finite is decidable
iff
C is a "2-way" category
iff
... .
Streicher's >--> sure isn't 2-way, hence ... .
The rest of that 20 year old report on my student Acun~a's thesis with me
is also fun.
-- Fred
next reply other threads:[~1997-01-12 20:42 UTC|newest]
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