# 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

## Discussion Tag Cloud

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

• 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.
• CommentTimeDec 30th 2014

I have added some missing op’s to the section Stabilization and localization of presheaf $(\infty,1)$-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