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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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 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: pasting law for pullbacks

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorTobias Fritz
    • CommentTimeSep 23rd 2019

    I was a bit confused about a search for “pullback lemma” not returning any result, hence this redirect

    diff, v7, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 4th 2021

    added some references (here)

    diff, v8, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 9th 2021

    added also pointer to:

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 9th 2021

    added (here) statement of the “reverse” pasting law in regular categories.

    Still need to give a more canonical reference.

    diff, v10, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2022

    That “reverse pasting law” (here) has ∞\infty-analogs, at least some of which can be obtained by applying the 1-categorical reverse pasting law to suitable diagrams in a model category. Is a “reverse pasting law for ∞\infty/homotopy-pullbacks” discussed in print anywhere?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2022
    • (edited Jul 6th 2022)

    added two more original references on the reverse pasting law:

    and another one for the pasting law for homotopy pullbacks in model categories:

    diff, v12, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2022

    I have added statement and a proof of the “reverse pasting law” for ∞\infty-pullbacks of ∞\infty-groupoids (here)

    diff, v13, current

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Add a reference for a more general reverse pasting law.

    diff, v16, current

1 to 8 of 8

  1.