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 definitions 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 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 nforum 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: premodel category

Bottom of Page

1 to 6 of 6

  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 2nd 2020

    Created.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2020

    I have fixed the broken intended hyperlinks and added hyperlinks to a bunch of further keywords. Added TOC, floating topic context and plural redirect.

    Finally, bring pedantic, I changed the lead-in from

    A premodel category is a relaxation of the notion of a model category.

    to

    The notion of a premodel category is a relaxation of the notion of a model category.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 2nd 2020

    Also slightly edited this sentence, for readability (I hope):

    Model categories can be singled out among premodel categories by imposing the additional requirement that the class

    W≔AF∘AC W \coloneqq AF \circ AC

    obtained by composing elements of ACAC with those of AFAF, is closed under the 2-out-of-3 property.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorHurkyl
    • CommentTimeMay 8th 2020

    Mention the distinction between anodyne and trivial cofibrations

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 8th 2020

    I have equipped the mentioning of the terminology “anodyne (co)fibration” with a pointer to anodyne morphism

    diff, v5, current

    • CommentRowNumber6.
    • CommentAuthorHurkyl
    • CommentTimeMay 9th 2020

    Added related concepts: model category and weak model category.

    diff, v6, current

1 to 6 of 6

  1.