Framed Combinatorial Topology
`Framed combinatorial topology’ is the title of a book we just uploaded to the arXiv. On the linked page you’ll find more information!
The project is part of the larger endeavor of diagrammatic higher category theory.
Christoph Dorn
Building foundational tools for novel insights (sometimes abstractly).
- United Kingdom
- TypeDB
- Oxford Math
- Oxford CS
- Cambridge Math
- ETH Physics
- GitHub
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The life cycle of a diagonal argument
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Diagonal arguments are ubiquitious. We present them in general form, and mention how specific examples arise from this presentation. → read note
Diagrammatic geometry
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Diagrammatic geometry makes manifold theory a joyous exercise of diagram-drawing. It has far-reaching consequences for how understanding of the interaction between higher algebra, combinatorics, and differential geometry. → read note
Guide to Kirby diagrams
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A brief note about Kirby diagrams, which provide a helpful tool in the representation of 3 and 4-dimensional manifolds → read note
Big vs small things
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Big things are different from small things. It’s a fundamental law of mathematical nature. But it’s not so often talked about. Here we at least say once that it’s a thing. (Feel free to extend!) → read note