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: Whitehead theorem

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 27th 2009
    • (edited Oct 27th 2009)

    created Whitehead theorem, including its (oo,1)-topos version

    in that context I also created hypercomplete (infinity,1)-topos. maybe that should be merged eventually with hypercompletion.

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeOct 2nd 2019

    Added a simplicial version.

    diff, v20, current

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 27th 2019

    Added more material about the simplicial Whitehead theorem.

    diff, v21, current

    • CommentRowNumber4.
    • CommentAuthorDmitri Pavlov
    • CommentTimeAug 28th 2021

    Original reference added:

    • J. H. C. Whitehead, Combinatorial homotopy. I, Bulletin of the American Mathematical Society 55:3 (1949), 213–246. doi.

    diff, v25, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 23rd 2022

    Added:

    The simplicial version is due to Daniel M. Kan, see Theorem 7.2 in

    • Daniel M. Kan, On c.s.s. categories, Boletín de la Sociedad Matemática Mexicana 2 (1957), 82–94. PDF.

    diff, v26, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 28th 2023

    added pointer to:

    diff, v27, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJan 28th 2023

    and this one:

    diff, v27, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 18th 2023

1 to 8 of 8

  1.