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From: Sjoerd CRANS <crans@math.mcgill.ca>
To: categories@mta.ca
Subject: Re: computation in CPS
Date: Mon, 9 Nov 1998 16:31:58 -0500 (EST)	[thread overview]
Message-ID: <199811092131.QAA18657@scylla.math.mcgill.ca> (raw)

Philippe Gaucher <gaucher@irma.u-strasbg.fr> asked:

> for a CPS, is there a way to compute 
> the source and target of a R({x}) using only compositions of elements 
> like R({y}) ?

Yes and no.

Yes in the sense that because the source and the target are pasting
schemes themselves, Johnson's pasting theorem gives that 1. they
are compositions of R({y})'s and 2. *any* way you do this gives the
same result.
No in two senses: although Johnson's proof actually gives an algorithm,
I don't think this algorithm has ever been implemented (in AXIOM for
example); and secondly, there is (as far as I know) no *general*
expression which works for cubes of all dimensions.

Sjoerd Crans



             reply	other threads:[~1998-11-09 21:31 UTC|newest]

Thread overview: 3+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
1998-11-09 21:31 Sjoerd CRANS [this message]
  -- strict thread matches above, loose matches on Subject: below --
1998-11-11 22:21 Ross Street
1998-11-09 10:06 Philippe Gaucher

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