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We should have a list of publications that are formalized in the library. This would be good for exposition, would give new readers some pointers for what to read in the library, and would allow us to…
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Tl; dr: The category Cat is defined "incorrectly", in particular its setoid hom equivalence relation is wrong (it does not agree with the ZFC definition of equality between functors). I propose that w…
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We'd like to have the basics of homological algebra (complexes, chain maps, homotopy equivalences, exact sequences, homology).
There will be some overlap with the theory of simplicial objects: thi…
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In `category_theory.quotient` we currently have a construction of the quotient of a category by an arbitrary relation on the Hom-sets, and half of its universal property (we could also prove the facto…
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I don't have time to do this right now, but here's an approach that I think will work:
1. Improve `WildCat/Yoneda` to talk about 0-groupoid-valued functors (and probably thereby remove the notion o…
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Courtesy of @jdchristensen, here are all of the files whose processing time (after #1238) takes at least 5s. We should see if some simple optimizations like `nrefine` can speed them up noticeably.
`…
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1. Homotopy Levels and Shifts:
We can interpret the number of shifts as corresponding to homotopy levels:
- S⁰(P(i)) : Level -2 (contradictions)
- S¹(P(i)) : Level -1 (propositions)
- S²(P(i)) : Leve…
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I'll use freely the naif idea of (infty,1) category throughout the chapter of model category as motivation for several constructions (starting from the homotopy category). The point is that classical …
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Hello,
Present version of README includes a quite technical paragraph about compatibility and efficiency:
> PowerGrids was developed and tested using OpenModelica 1.14.1, but is expected to run…
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What is the connection of path semantics to https://en.wikipedia.org/wiki/Category_theory ?