From: Michael Shulman <shulman@sandiego.edu>
To: categories <categories@mta.ca>
Subject: functors defined by well-founded induction
Date: Mon, 7 Jul 2014 20:11:44 -0700 [thread overview]
Message-ID: <E1X4PL5-0000vB-JH@mlist.mta.ca> (raw)
Suppose I have a well-founded poset W, regarded as a category, and I
would like to define a functor W -> C into some other category by
well-founded recursion. Is there written out anywhere in the
literature a general schema for doing this? It's a little more subtle
than defining an ordinary function by well-founded recursion, since we
have to define the value of the functor on morphisms too, and its
value at a given object may depend on its value at morphisms between
previous objects.
Mike
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2014-07-08 3:11 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-07-08 3:11 Michael Shulman [this message]
2014-07-09 9:39 Paul Taylor
[not found] <e7a7f6a0218b48329967ebf0349ac528@CHEWY.ad.sandiego.edu>
2014-07-09 17:39 ` Michael Shulman
2014-07-10 12:40 ` Oosten, J. van
2014-07-30 12:37 ` Tadeusz Litak
[not found] ` <40aa4cd3ea004811957c877001b40f5e@LANDO.ad.sandiego.edu>
2014-07-30 22:43 ` Michael Shulman
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