From: Ross Street <ross.street@mq.edu.au>
To: Emily Riehl <eriehl@math.harvard.edu>
Cc: categories@mta.ca
Subject: Re: a call for examples
Date: Mon, 5 Jan 2015 15:12:22 +1100 [thread overview]
Message-ID: <E1Y8CYS-000484-Mx@mlist.mta.ca> (raw)
In-Reply-To: <E1Y6lKT-0005wK-7r@mlist.mta.ca>
On 2 Jan 2015, at 4:47 am, Ronnie Brown <ronnie.profbrown@btinternet.com> wrote:
> Just to put a slightly different emphasis, I like to present categories
> and groupoids as good examples of structures having the dual roles of
> (i) algebraic structures in their own right, and also
> (ii) of value for talking about mathematical structures.
Yes, I absolutely agree (I might even replace `algebraic’ in (i) by `mathematical’).
Another aspect (perhaps already mentioned) is that (monoidal) categories allow
one branch of mathematics to inspire another and, indeed, talk to each other.
I have in mind the recognition that concepts like dual finite dimensional vector
space and trace of a linear endomorphism inspire application to knot theory;
the talking is done by strong monoidal functors in explaining (in their own
way) link invariants.
Ross
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2015-01-05 4:12 UTC|newest]
Thread overview: 4+ messages / expand[flat|nested] mbox.gz Atom feed top
2015-01-01 17:47 Ronnie Brown
2015-01-05 4:12 ` Ross Street [this message]
-- strict thread matches above, loose matches on Subject: below --
2014-12-28 21:52 Emily Riehl
2015-01-02 9:04 ` Richard Garner
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