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 k-theory lie-theory limit limits linear linear-algebra locale localization logic mathematics 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 subobject 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).
  1. The are several mistakes in AB6 so I just copy the definition in Tohoku paper instead of that.


    diff, v25, current

    • CommentRowNumber2.
    • CommentAuthorelias_guisado
    • CommentTimeJun 5th 2024

    I haven’t ever before edited the nLab (just corrected typos in the past). Please, don’t be mad at me if something is not well typed or doesn’t follow the nLab conventions. I tried to follow what is explained in

    If something isn’t right, just correct it and I’ll revisit this page in a couple of days to learn about it :)

    diff, v26, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 5th 2024

    Looks good, thanks for contributing!

    The rendering error you ran into is caused by a bug in our software: If the closing tag of a Definition/Theorem/Proof environment follows immediately after an item list, then the page does not render. One needs to introduce a blank line in the code to avoid this.

    (Which isn’t so bad, since such whitespace between code of differing logical nature also helps humans with reading the source, so it’s good style to include it anyways.)

    diff, v27, current

    • CommentRowNumber4.
    • CommentAuthorelias_guisado
    • CommentTimeJun 6th 2024

    Apparently, \varinjlim is not recognised in nLab. I changed it to \underset{\rightarrow}{\lim}

    Also, statement of point 2 was incomplete.

    diff, v28, current

    • CommentRowNumber5.
    • CommentAuthorncfavier
    • CommentTime4 days ago

    Added a diagram summarising (my understanding of) the relationships between various notions of additive and abelian categories.

    diff, v29, current