Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: Handbook of Homotopy Theory

Bottom of Page

1 to 21 of 21

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2018

    Page created, but author did not leave any comments.

    v1, current

  2. Added Mark Behrens’s contribution

    Anonymous

    diff, v2, current

  3. Added the contribution of Barthel and Beaudry

    Anonymous

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 5th 2019

    Added Arone and Ching’s contribution.

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 26th 2019

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

    diff, v5, current

    • CommentRowNumber6.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 23rd 2019

    Added today’s

    diff, v7, current

    • CommentRowNumber7.
    • CommentAuthorDavidRoberts
    • CommentTimeJul 8th 2019

    Added todays’

    diff, v9, current

    • CommentRowNumber8.
    • CommentAuthorDavidRoberts
    • CommentTimeJul 31st 2019

    Added today’s

    diff, v11, current

    • 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.

    diff, v13, current

    • 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.

    diff, v14, current

    • CommentRowNumber12.
    • CommentAuthorDavidRoberts
    • CommentTimeDec 20th 2019

    Added new arXiv link

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

    diff, v15, current

    • CommentRowNumber13.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 11th 2020

    Added today’s arXiv link for Tyler Lawson, E nE_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.

    diff, v16, current

    • CommentRowNumber14.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 3rd 2020

    Added new arXiv link for

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

    diff, v17, current

    • 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.

    diff, v18, current

    • CommentRowNumber16.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 5th 2020

    Added bibliographic data.

    diff, v19, current

    • CommentRowNumber17.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 5th 2020
    • (edited Apr 5th 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.

    diff, v21, current

    • CommentRowNumber20.
    • CommentAuthorUrs
    • CommentTimeDec 19th 2020

    have added the publication data (CRC Press 2019, ISBN:9780815369707)

    diff, v23, current

    • CommentRowNumber21.
    • CommentAuthorUrs
    • CommentTimeDec 19th 2020

    oh, now I see such data was there on another line, away from the author/title block. Have re-organized now.

    diff, v23, current

1 to 21 of 21

  1.