From: Paul B Levy <P.B.Levy@cs.bham.ac.uk>
To: categories@mta.ca
Subject: Re: dagger vs involutive
Date: Wed, 7 Mar 2007 15:13:58 +0000 (GMT) [thread overview]
Message-ID: <E1HP5YR-0002zt-Rw@mailserv.mta.ca> (raw)
Oh dear, I think I might have recently increased the set of synonyms.
A couple of years ago, in conversation with Weng Kin Ho, I suggested the
following terminology.
Involutive category:
a category C, with a functor c : C^op --> C and an isomorphism alpha : c^2
--> id_C
Strictly involutive category:
a category C with a functor c : C^op --> C such that c^2 = id_C
Locally involutive category:
a category C with an identity-on-objects functor c : C^op --> C such that
c^2 = id_C.
Weng Kin used this terminology in his PhD thesis (pp 17-18)
http://www.cs.bham.ac.uk/~wkh/papers/thesis.pdf
I wasn't aware of the other terminologies.
Paul
next reply other threads:[~2007-03-07 15:13 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2007-03-07 15:13 Paul B Levy [this message]
-- strict thread matches above, loose matches on Subject: below --
2007-03-06 19:37 Zinovy Diskin
2007-03-05 23:06 Prof. Peter Johnstone
2007-03-05 22:19 Eduardo Dubuc
2007-03-05 12:38 tholen
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