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

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).

nLab > Latest Changes: t-structure

Bottom of Page

1 to 12 of 12

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 17th 2013

    added the definition to the old stub t-structure. Also redicrecting heart, of course. And also for stable ∞\infty-categories.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeNov 19th 2013

    Added some into references.

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeNov 19th 2013

    I also added links to the papers of M. Douglas to the related entry Bridgeland stability.

    • CommentRowNumber4.
    • CommentAuthorFosco
    • CommentTimeNov 1st 2014

    I expanded the page adding a section for t-structures in stable ∞\infty-categories. Only a stub for the moment.

  5. I added to t-structure the condition that the two subcategories which comprise a t-structure have to be strictly full subcategories. I believe that this is the standard convention (see Gelfand/Manin, Goerss/Jardine, …).

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023
    • (edited Apr 7th 2023)

    have added publication data to this item:

    and have replaced this item

    with what I suppose is the result of this preparation:

    Beware that the entry text refers to a “Theorem 2.16” in the article-in-preparation. I haven’t yet hunted for what number this corresponds to in the actual article.

    diff, v9, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    looks like the reference for that proposition should be Theorem 6.3 in FLM19

    diff, v11, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    added (here) mentioning of the archetypical example of the canonical t-structure on a derived category

    diff, v11, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    the wording in the second paragraph of “In stable ∞\infty-categories” (here) was quite mangled. I have tried to adjust, but there may be room left to further expand on this.

    diff, v11, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    added pointer to:

    diff, v12, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    added (here) brief mentioning of the example of the canonical t-structure on spectra (deserves to be expanded further…)

    diff, v13, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeApr 7th 2023

    have made explicit (here) the definition of t-structures on stable ∞\infty-categories

    and have moved the previous discussion relating to “normal torsion theories” out of the “Definition”-section into a dediated subsection under “Properties” (now here)

    diff, v14, current

1 to 12 of 12

  1.