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 finite 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 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 sheaves 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: n-truncated object of an (infinity,1)-category

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 27th 2020

    In the section “In terms of truncations” I have added a few more cross links (both between the definitions in that section as well as to the respective items in HTT).

    diff, v55, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 27th 2020

    added this pointer:

    diff, v57, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeOct 14th 2020

    Added the characterization of n-truncated morphisms via homotopy groups.

    diff, v58, current

    • CommentRowNumber4.
    • CommentAuthorHurkyl
    • CommentTimeOct 14th 2020

    The theorem that presentable functors commute with truncation (HTT 5.5.6.28) omitted the hypothesis that the functor is left exact.

    diff, v59, current

    • CommentRowNumber5.
    • CommentAuthorTim_Porter
    • CommentTimeOct 14th 2020

    Fixed a typo.

    diff, v60, current

    • CommentRowNumber6.
    • CommentAuthorHurkyl
    • CommentTimeOct 23rd 2020

    Included the description of n-truncated objects in the category of presheaves being the presheaves taking values in n-truncated spaces.

    diff, v61, current

  7. subcategory of n-truncated objects is called \tau_n C

    Anonymous

    diff, v77, current

    • CommentRowNumber8.
    • CommentAuthorʇɐ
    • CommentTimeJan 7th 2024
    • (edited Jan 7th 2024)

    Changed “for all −2≤n≤∞ -2 \le n \le \infty ” in proposition 3.3 (the existence of the (nn-connected, nn-truncated) factorization system) to “−2≤n<∞ -2 \le n \lt \infty ” to match the formulation of HTT’s example 5.2.8.16 (Lurie 2009: 390).

    (Is it even true for n=∞n=\infty with the definition of nn-truncatedness given here, or do you need some hypercompleteness assumption?)

    diff, v80, current

1 to 8 of 8

  1.