From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: Re: finiteness
Date: Fri, 24 Jan 1997 10:55:32 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.970124105520.13430F-100000@mailserv.mta.ca> (raw)
Date: Fri, 24 Jan 1997 10:54:59 +0000
From: Steve Vickers <sjv@doc.ic.ac.uk>
>From: carboni@vmimat.mat.unimi.it
>
>... L consists of those ideals T : N---->Omega such that for all n
>Tn = Inf{Tm | m > n}.
I understand this as saying that n is in the ideal iff every greater m is
in the ideal (but I think the inequality m > n has to be non-strict to make
sense of this). Hence it's really a filter of N.
If that's correct, then my suggestion was wrong. L would be not Idl N, but
Idl(N^op). That makes sense regarding dimensions, for if a real vector
space is finitely presented using an mxn matrix A (presenting R^n/Im A)
then its dimension is n-rank(A), so if rank(A) is in Idl(N), the dimension
should be in Idl(N^op).
(By the way, what's a full reference for the "Perugia Notes"?)
Steve.
next reply other threads:[~1997-01-24 14:55 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
1997-01-24 14:55 categories [this message]
-- strict thread matches above, loose matches on Subject: below --
1997-01-27 17:15 finiteness categories
1997-01-23 18:49 finiteness categories
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