Re: Preprint available: Close categories vs. closed multicategories

[Oleksandr Manzyuk <manzyuk@googlemail.com>]

Dear Vaughan,

> Very interesting definition.  Do you have an example of a closed category
> that cannot be expanded to a closed monoidal category?  If there's one in
> your paper then my apologies for overlooking it.

Every closed category can be embedded fully faithfully into a closed
monoidal category such that the closed structure is preserved; this is
due to Laplaza (exact reference in my paper). However, non-monoidal
closed categories do occur. I was motivated by the example of
A-infinity categories, and frankly, I am not aware of any other
non-trivial and non-artificial examples, but I am sure there must be
some, it is just my ignorance.

Best,
Oleksandr

-- 
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