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 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 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: fibration of points

Bottom of Page

1 to 5 of 5

  1.  
    • CommentRowNumber1.
    • CommentAuthorBryceClarke
    • CommentTimeFeb 8th 2023

    Added (what I believe to be is) the original reference:

    I’m leaving a note here to add more to this page relating to Malcev categories and protomodular categories.

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeFeb 8th 2023

    Grothendieck, Benabou and all topos people well knew and used the codomain fibration and the Grothendieck construction for it. While Bourn certainly first understood the importance of this example in the context of study of categories of algebras , the category of points is due Grothendieck, and the idea essentially known to MacLane before that, and it has been used much by Benabou in his study of fibrations in 1970s.

    • CommentRowNumber3.
    • CommentAuthorBryceClarke
    • CommentTimeFeb 8th 2023

    Re #2: That additional context is very helpful, thank you. If you have time to add some of those references to the page, I think it would be very much improved! In the meantime, I remove the reference to “first”.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeFeb 8th 2023

    For the detailed references I will have to consult Igor Baković, he would be more precise in details there.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2023

    by the way, we have an entry codomain fibration. I have added cross-links.

    diff, v10, current

1 to 5 of 5

  1.