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Results tagged with higher-category-theory
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user 22002
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
1
vote
1
answer
212
views
gluing bundles as a 2-colimit
Is the gluing of bundles from not-necessarily trivial bundles just some kind of 2-colimit?
- 2,083
1
vote
Accepted
gluing bundles as a 2-colimit
not my answer, but David Carchedi's answer in a comment:
'What you might be thinking is, the category of principal bundles over a fixed base is a 2-colimit over all covers of the base (or some cofina …
- 2,083
11
votes
2
answers
2k
views
Are grothendieck universes enough for the foundations of category theory?
Grothendieck universes are equivalent to ZFC+a strongly inaccessible cardinal. This is low on the large cardinal axiom list. Is it enough to place category theory on a firm foundational basis, and how …
- 2,083
2
votes
1
answer
857
views
Where should one go to learn about triangulated categories?
Lurie's book, higher topos theory describes a new notion of a triangulated category, which is apparently much more natural than the usual definition. Obviously by now a great deal of work has been don …
- 2,083
6
votes
Is Mac Lane still the best place to learn category theory?
I found the Catsters on YouTube divinely useful.
John Baez, in his not so weekly blog, inspiring.
The n-category cafe, to keep you going.
Eugenia Cheng's notes on category theory was tremendously u …