From: Urs Schreiber <urs.schreiber@googlemail.com>
To: Marco Grandis <grandis@dima.unige.it>, categories@mta.ca
Subject: Re: 'Directed Algebraic Topology'
Date: Mon, 21 Sep 2009 11:44:02 +0200 [thread overview]
Message-ID: <E1Mpiqk-00049z-24@mailserv.mta.ca> (raw)
Marco Grandis wrote:
> My book
>
> 'Directed Algebraic Topology'
> Models of non-reversible worlds
>
> has appeared, at Cambridge University Press.
In that context I am wondering about the following:
it would be nice to have a notion of directed topological space that
would extend the relation between (nice) topological spaces and
oo-groupoids to one between (nice) directed topological spaces and
(oo,1)-categories.
More generally, it would be nice to have a notion of "r-directed
topological space" for r in N that would extend the relation between
(nice) topological spaces and oo-groupoids to one of (nice)
"r-directed spaces" and (oo,r)-cateories.
(Probably such a notion of directed spaces can't be supporrted by
plain topological spaces with direction information, but requires
filtered directed spaces or the like. )
Has anything like this been considered?
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next reply other threads:[~2009-09-21 9:44 UTC|newest]
Thread overview: 11+ messages / expand[flat|nested] mbox.gz Atom feed top
2009-09-21 9:44 Urs Schreiber [this message]
-- strict thread matches above, loose matches on Subject: below --
2009-09-29 11:42 Marco Grandis
2009-09-28 18:43 George Janelidze
2009-09-22 21:01 Martin Escardo
2009-09-22 13:12 Gaucher Philippe
2009-09-22 13:05 Peter Bubenik
2009-09-22 9:00 Urs Schreiber
2009-09-22 8:37 Marco Grandis
2009-09-21 23:15 George Janelidze
2009-09-21 15:56 Michael Barr
2009-09-18 15:23 Marco Grandis
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