From: Philippe Gaucher <gaucher@irmasrv1.u-strasbg.fr>
To: categories@mta.ca
Subject: Re: localization : more precise question
Date: Sun, 3 Dec 2000 17:44:54 +0100 (MET) [thread overview]
Message-ID: <200012031644.RAA12007@irmast2.u-strasbg.fr> (raw)
>I meant 'non-negative'. Maybe the definition of the category still needs
>to be debugged. I don't know. (The motivation of this question was to encode
>the notion of 1-dimensional HDA up to dihomotopy for those who know the
>subject in a "true" category such that isomorphism classes represent
>1-dimensional HDA up to dihomotopy). "having a 'positive' derivative at
>all times" would be also sufficient I think.
I would like to add : I meant 'non-negative' locally. Because one needs that the
morphism from an arrow a-->b to a loop a-->a exists. The exact definition is :
morphism of local po-spaces (see "Algebraic topology and concurrency", by
Fajstrup, Goubault & Rau{\ss}en ; preprint R-99-2008, Aalborg University).
pg.
next reply other threads:[~2000-12-03 16:44 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2000-12-03 16:44 Philippe Gaucher [this message]
-- strict thread matches above, loose matches on Subject: below --
2000-12-02 23:33 Philippe Gaucher
2000-12-03 22:39 ` Dan Christensen
2000-12-01 21:13 Philippe Gaucher
2000-12-02 18:05 ` Dan Christensen
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