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Put the book on the arXiv.
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Exercise 8.8 ("the junior Hopf fibration") states
"define the junior Hopf fibration as a fibration (that is, a type family) over S^1 whose fibers are S^0"
Following the book's conventions, this prob…
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Lemma 6.3.2 shows that in the presence of an interval type, a homotopy between two functions f ~ g implies a path f = g. There is no lemma in that section showing that the function thus constructed is…
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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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I was reading the Introduction, and one paragraph jumps out:
> One problem with understanding type theory from a mathematical point of view, however, has always been that the basic concept of type is…
noamz updated
11 years ago
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I still don’t like this type-theoretic / homotopy-theoretic table in the introduction of the chapter on homotopy theory.
The main reason is that for instance the table says that there is no homotopy-t…
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I don't like the reservations about the system expressed at several points in Chapter 2:
the penultimate par. of 2.5, and the remarks immediately following axiom 2.9.3 (FunExt) and 2.10.3 (UA) about …
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In the phrase "While each of the above individuals contributed something to this project", the word "project" seems ambiguous to me: Does it refer to "homotopy type theory/univalent foundations" or "t…
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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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I think we should have one or more MSC numbers on the copyright page, but which one(s)?
Maybe 03-02, 55-02 ?
This is a chance to determine how future research papers in HoTT will be classified.