From: Alan Jeffrey <ajeffrey@bell-labs.com>
To: <categories@mta.ca>
Subject: Is "braided monoidal" a conservative extension of "lax braided monoidal"?
Date: Mon, 29 Nov 2010 10:34:35 -0600 [thread overview]
Message-ID: <E1PN9Qk-0005Nc-TQ@mlist.mta.ca> (raw)
Hi everyone,
Is there a known result (or counterexample) saying that the equational
theory of a braided monoidal category is a conservative extension of a
lax braided monoidal category?
As a reminder, a lax braid is a natural b : A * B -> B * A satisfying
coherence conditions with the units and associators, and a braid is a
lax braid where b is an isomorphism. The motivation for asking this
question is that string diagrams are a proof technique for braids, and
I'd like to be able to use them for lax braids too, but this requires
braiding to be a conservative extension of lax braiding.
Cheers,
Alan Jeffrey.
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2010-11-29 16:34 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-11-29 16:34 Alan Jeffrey [this message]
[not found] ` <E1PNQxX-0002w5-Gy@mlist.mta.ca>
2010-11-30 23:43 ` Alan Jeffrey
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