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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeAug 3rd 2020

I used to point to Theorem 5.1.3.6 in http://www.math.harvard.edu/~lurie/papers/higheralgebra.pdf for the May recognition theorem. Now that file is gone, superceded by http://www.math.harvard.edu/~lurie/papers/HA.pdf and the numbering changed. Where in the new file is the May recognition theorem? (It’s not referred to under this name, unfortunately.)

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeAug 3rd 2020

Ah, never mind. I see it’s now Theorem 5.2.6.10 and is indeed attributed to May now.

• CommentRowNumber3.
• CommentAuthorDavidRoberts
• CommentTimeAug 3rd 2020

Hmm, not an IAS URL?

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeAug 3rd 2020

Sure, whatever. I have changed the link at Higher Algebra (again).

This is becoming a bit of a pain to cite. (It’s not so hard to give files at least a stable URL…)

• CommentRowNumber5.
• CommentAuthorDmitri Pavlov
• CommentTimeAug 3rd 2020

The most annoying part is that Higher Algebra is not on arXiv, unlike Higher Topos Theory.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeAug 3rd 2020

And it looks like the file hasn’t received an update since 2017, either?

• CommentRowNumber7.
• CommentAuthorDmitri Pavlov
• CommentTimeAug 3rd 2020
• (edited Aug 3rd 2020)

Yes, the last update was on September 18, 2017.

I don’t understand why he doesn’t publish what he already has (1553 pages, Letter-sized!).

It is always possible to produce a second edition if changes are necessary.

• CommentRowNumber8.
• CommentAuthorMike Shulman
• CommentTimeAug 4th 2020

The fact that HTT is on the arXiv would be more useful if the arXiv version were kept up to date. RIght now the arXiv version is about 9 years older than the one posted on Lurie’s web page, and IIRC the updates in those years were not merely cosmetic but actually fixed some errors. It’s not clear to me that having an out-of-date version posted on the arXiv is better than having no version posted on the arXiv.