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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeDec 7th 2018

Page created, but author did not leave any comments.

Anonymous

2. Added the contribution of Barthel and Beaudry

Anonymous

• CommentRowNumber4.
• CommentAuthorDavidRoberts
• CommentTimeFeb 5th 2019

• CommentRowNumber5.
• CommentAuthorDavidRoberts
• CommentTimeFeb 26th 2019

Added another chapter, by Wickelgren and Williams on Unstable Motivic Homotopy Theory.

• CommentRowNumber6.
• CommentAuthorDavidRoberts
• CommentTimeMay 23rd 2019

• CommentRowNumber7.
• CommentAuthorDavidRoberts
• CommentTimeJul 8th 2019

• CommentRowNumber8.
• CommentAuthorDavidRoberts
• CommentTimeJul 31st 2019

• CommentRowNumber9.
• CommentAuthorDavidRoberts
• CommentTimeOct 31st 2019

Added final table of contents and publication date. We should see if we can track down copies of the missing chapters, for instance on peoples’ websites.

• CommentRowNumber10.
• CommentAuthorDmitri Pavlov
• CommentTimeOct 31st 2019
…or just purchase the book for a mere $300 (currently discounted to$240).
• CommentRowNumber11.
• CommentAuthorDavidRoberts
• CommentTimeNov 1st 2019

Reordered list of contributions to match the contents page, and added a few more arXiv links I found in the process. Only three of the chapters are not available online, and only two of those online are non-arXiv. All the chapters are listed here, whether or not they are electronically available.

• CommentRowNumber12.
• CommentAuthorDavidRoberts
• CommentTimeDec 20th 2019

Paul Balmer, A guide to tensor-triangular classification, (arXiv:1912.08963)

• CommentRowNumber13.
• CommentAuthorDavidRoberts
• CommentTimeFeb 11th 2020

Added today’s arXiv link for Tyler Lawson, $E_n$-ring spectra and Dyer-Lashof operations. It’s not clear how different this is to the version available on Lawson’s webpage, so I left that link too.

• CommentRowNumber14.
• CommentAuthorDavidRoberts
• CommentTimeApr 3rd 2020

Gunnar Carlsson, Persistent homology and applied homotopy theory (arXiv:2004.00738)

• CommentRowNumber15.
• CommentAuthorUrs
• CommentTimeApr 3rd 2020
• (edited Apr 3rd 2020)

added to most items pointer to the nLab entry concerned with their topic

BTW, It looks like most items added to the list here have not been added yet to the references in the respective entry.

• CommentRowNumber16.
• CommentAuthorDmitri Pavlov
• CommentTimeApr 4th 2020

• CommentRowNumber17.
• CommentAuthorDmitri Pavlov
• CommentTimeApr 4th 2020
• (edited Apr 4th 2020)

A curious fact: the publication of this handbook could be considered the “official point” at which (most of) algebraic topology got renamed as homotopy theory. Haynes Miller writes about this in the introduction:

This volume may be regarded as a successor to the “Handbook of Algebraic Topology,” edited by Ioan James and published a quarter of a century ago. In calling it the “Handbook of Homotopy Theory,” I am recognizing that the discipline has expanded and deepened, and traditional questions of topology, as classically understood, are now only one of many distinct mathematical disciplines in which it has had a profound impact and which serve as sources of motivation for research directions within homotopy theory proper.

Although one could also point to Clark Barwick’s August 2017 manifesto “The future of homotopy theory”: https://ncatlab.org/nlab/files/BarwickFutureOfHomotopyTheory.pdf as another “official renaming point”.

• CommentRowNumber18.
• CommentAuthorUrs
• CommentTimeApr 5th 2020

Hi Dmitri,

this comment is worthwhile to include in the entry itself!

• CommentRowNumber19.
• CommentAuthorDmitri Pavlov
• CommentTimeApr 5th 2020

Added a citation from the introduction.