Re: Famous unsolved problems in ordinary category theory

[Michael Shulman <shulman@uchicago.edu>]

Probably people are going to jump on me for saying this, but it seems to
me that category theory is different from much of mathematics in that
often the difficulty is in the definitions rather than the theorems, and
in the questions rather than the answers.  Thus, there are probably many
unsolved problems in category theory, but we don't know what they are
yet, because figuring out what they are is the main aspect of them
that is unsolved.  (-:

Mike

On Tue, Jun 2, 2009 at 11:31 AM, Hasse Riemann <rafaelb77@hotmail.com> wrote:
>
>
>
> Hello categorists
>
> I don't know what to make of the silence to my question.
> This is the easiest question i have. I can't believe it is so difficult.
> It is not like i am asking you to solve the problems.
>
> There must be some important open problems in ordinary category theory.
> There are plenty of them in the theory of algebras and
> in representation theory, so there should be more of them in category theory.
>
> Especially if you broaden the boundaries a bit of what ordinary category theory is.
> Take for instance:
> model categories,
> categorical logic,
> categorical quantization,
> topos theory-locales-sheaves.
> But i had originally pure category theory in mind.
>
> Best regards
> Rafael Borowiecki
>
>
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>


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