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P. 59: "Such a homotopy is the image in X of a square that fills in the space between p and q, which can be thought of as a “continuous deformation” between p and q, or a 2-dimensional path between p…
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I'm trying to write intro and elim rules for limits and colimits. After much pain and time, I wrote intro and elim rules for colimits.\* I expected that I would be able to get limits for free, becau…
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> Exercise 7.2. Express S² as a colimit of a diagram consisting entirely of copies of 1.
Does this mean that the objects should all be the unit type (or should be disjoint unions of unit types), or t…
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Commit d238e03e3eb is on top of PR #470. It causes compilation to fail in `Pushout.v` with the error
```
File "./theories/hit/Pushout.v", line 77, characters 2-51:
Error:
Cannot infer an internal pl…
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I'm really confused. I've read the first five chapters of the HoTT book and I still don't understand why path induction works.
I've come to the following conclusions about HoTT and type theory in ge…
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Put the book on the arXiv.
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At the start of section 8.4 we start by considering a fibration E ->> B and "its fiber F", which confused me. Probably the specialist knows what this means, but it is only explained a few paragraphs …
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In Chapter 1, a bunch of types are introduced, each with their own induction principles. In most cases, the induction principle is an object of a particular type, which comes with a defining equation…
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"How to read this book" in the introduction claims that _"Each chapter in Part II begins with a brief overview of its subject, what univalent foundations has to contribute to it, and the necessary bac…
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Write blog posts, publish on G+, Facebook, etc.