Not signed in (Sign In)

Start a new discussion

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

Discussion Tag Cloud

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).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 12th 2010
    • (edited Jan 21st 2016)
    I edited stable (infinity,1)-category a bit:

    * rephrased the intro part, trying to make it more forcefully to the point (not claiming to have found the optimum, though)

    * added a dedicated section <a href="http://ncatlab.org/nlab/show/stable+(infinity%2C1)-category#the_homotopy_category_of_a_stable_category_triangulated_categories_7">The homotopy cat of a stable (oo,1)-cat: traingulated categories</a> to highlight the important statement here, which was previously a bit hidden in the main text.
    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeMay 14th 2011

    I have added a remark to stable derivator about why the homotopy category of such acquires one triangulation and not the “negative” triangulation, a potentially confusing point (at least, to me).

    This remark would probably fit better at stable (∞,1)-category, since the “negating one morphism” operation makes more sense there than in a derivator. But currently that page doesn’t actually describe the construction of the triangulation, which is necessary for the remark to make sense, whereas the page stable derivator does.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2013
    • (edited Oct 14th 2013)

    I have added a pointer to introductory notes by Yonatan Harpaz on stable \infty-categories. These are notes a kindly prepared for our group seminar last week.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMar 10th 2014

    Briefly added pointer to formalization of the enrichment over spectra by Gepner-Haugseng, but then my battery died (this here from my phone)

    • CommentRowNumber5.
    • CommentAuthoradeelkh
    • CommentTimeDec 30th 2014

    I have added some missing op’s to the section Stabilization and localization of presheaf (,1)(\infty,1)-categories, and updated the statement of Proposition 2 (it’s even a sufficient condition for stable + presentable).

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 21st 2016

    for ease of reference, I have copied over the discussion of the Schwede-Shipley result also to stable infinity-category – Stabilization and localization

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)