RE: Timelines for category theory: a response to comments

[Michael Barr <barr@math.mcgill.ca>]

I take it from this list that the developments of the '60s involving
"triple cohomology" and acyclic models is not considered of
importance in the history of category theory.

This comment shows how difficult it is to construct such a timeline that
will satisfy everybody.

Michael

> Our
> first draft of topics would be:
>
> 1. General category theory, including motivation
> 2. Abelian categories and homological algebra
> 3. Categories and groupoids in homotopical algebra and algebraic
> topology
> 4. Topos theory
> 5. Monoidal, enriched, and higher-dimensional categories
> 6. Categorical algebra
> 7. Categorical topology
> 8. Categorical logic and foundation of mathematics
> 10. Categories in algebraic geometry
> 11. Categories in computer science
> 12. Categories in Physics
>
> There will be intersections of course, but we presume that is
> fine.
>
> As examples of timelines in other subjects, and their styles,
> see for
> example
>
> http://en.wikipedia.org/wiki/List_of_timelines#Science
>
> particularly those on Physics.
>
> We look forward to reactions to this proposal.
>
> Ronnie Brown
>
> George Janelidze
>
>


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