Talk:Braided monoidal category

Braided category

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Anybody willing to fill in this redlink, either by an appropriate redirect, or a new article? Oleg Alexandrov (talk) 07:11, 23 April 2006 (UTC)Reply

I retract my comments I made May 9, 2007 on Wikipedia's article on Braided Monoidal Categories. D.S.


Question about usage of opposite category here

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I think the usage of   in the first sentence is confusing. In particular, it seems like   is being described as the same category as   but with a different (opposite) monoidal structure, rather than a monoidal structure on the opposite category of   as described in Opposite (category theory), which is the much more customary definition of  .

So, given a monoidal category,  , are we saying that   is of the form   or is it of the form  ?

A "natural isomorphism" would mean between two functors between the same categories, so it seems like this would mean that you'd want   and a natural isomorphism between   and  .

Thomaso (talk) 18:03, 10 February 2012 (UTC)Reply

I agree. I'm trying to work out if a few different characterisations are equal and the description given in the opening line is not exactly correct. The differences are subtle but it's best to be as exact as possible. I believe the natural isomorphism is from   to   as you say.

MitchB (talk) 04:04, 12 June 2013 (UTC)Reply