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).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 7th 2010

    I was unsatisfied with the entry Eilenberg-MacLane object. So I changed the wording at the beginning. Maybe it's an improvement, maybe something better needs to be done.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2010

    I worked a bit on polishing and expanding Eilenberg-MacLane object.

    There are now more precise definitions and some theorems. Notably the definition as n-connected and n-truncated objects is now there.

    One obvious propositon that I didn't find in HTT I have added. But check if I am overlooking something.

  1. I'm wondering whether it's worth explicitly mentioning that the restriction is equivalent to the identity (this is the base for the inductive proof of the equivalence )
    • CommentRowNumber4.
    • CommentAuthorHarry Gindi
    • CommentTimeMar 24th 2010

    I can't see a reason not to...

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2010

    Sure. Shall I?

  2. ok, I added it.
    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeApr 16th 2014
    • (edited Apr 16th 2014)

    Added to Eilenberg-MacLane object (and to Eilenberg-MacLane space) a pointer to the recent