From: Tom Leinster <Tom.Leinster@ed.ac.uk>
To: Vladimir Voevodsky <vladimir@ias.edu>
Cc: categories@mta.ca
Subject: Re: non-unital monads
Date: Sun, 19 Oct 2014 22:28:12 +0100 (BST) [thread overview]
Message-ID: <E1Xg9xl-0005eC-6Y@mlist.mta.ca> (raw)
Dear Vladimir,
> 1. Given a non-unital monad can it have two different "unitality" structures?
No. Write T for the endofunctor, m for the multiplication, and e and e'
for the two units. Then
e = m(e'T)e = m(Te)e' = e',
the first and third equalities by the monad axioms, and the second by
naturality of e'.
Best wishes,
Tom
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2014-10-19 21:28 UTC|newest]
Thread overview: 7+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-10-19 21:28 Tom Leinster [this message]
-- strict thread matches above, loose matches on Subject: below --
2014-10-20 18:22 Vladimir Voevodsky
2014-10-18 18:02 Vladimir Voevodsky
2014-10-20 9:31 ` Peter Johnstone
2014-10-20 16:47 ` Marek Zawadowski
2014-10-20 21:02 ` Tarmo Uustalu
2014-10-20 23:22 ` Richard Garner
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