From: F W Lawvere <wlawvere@buffalo.edu>
To: "\"Categories\"" <categories@mta.ca>
Subject: Re: Linear--structure or property?
Date: Sat, 12 Aug 2006 12:35:47 -0400 (EDT) [thread overview]
Message-ID: <E1GC329-0006Kz-2T@mailserv.mta.ca> (raw)
Beyond simple counter examples to general statements, the Tarski school
also pursued conditions on particular monoids which might imply uniqueness
of a ring structure, or a definite range of ring structures.
As I suggested, that open problem takes on a deeper significance if we
consider it within categories of cohesion, not just within the category of
abstract sets.
Best wishes to all.
Bill
************************************************************
On Fri, 11 Aug 2006, George Janelidze wrote:
> FW: categories: Re: Linear--structure or property?Dear Florian,
>
> > 1*2 = f(f(1)+f(2)) = f(1+3) = f(4) = f(2x2) = f(2)xf(2) = 3x3 = 9.
>
> You are right, and thank you the correction (I think I thought of 3*3 =
> f(f(3)+f(3)) = f(2+2) =..., but does not matter of course).
>
> Dear Bill,
>
> Having two structures in {0,1} (with 1+1 = 0 and with 1+1 = 1) makes what
> you say about the Tarski school funny (sorry!)
>
> Best regards to all-
>
> George
>
>
>
>
next reply other threads:[~2006-08-12 16:35 UTC|newest]
Thread overview: 11+ messages / expand[flat|nested] mbox.gz Atom feed top
2006-08-12 16:35 F W Lawvere [this message]
-- strict thread matches above, loose matches on Subject: below --
2006-09-04 4:14 Fred E.J. Linton
2006-09-04 3:11 Fred E.J. Linton
2006-09-03 18:32 David Ellerman
2006-09-03 9:26 Fred E.J. Linton
2006-08-11 21:47 George Janelidze
2006-08-11 14:53 George Janelidze
2006-08-11 10:49 Stephen Lack
2006-08-11 14:35 ` F W Lawvere
2006-08-11 9:12 George Janelidze
2006-08-10 20:14 Michael Barr
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