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: Xena project

Bottom of Page

1 to 6 of 6

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 20th 2019

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 20th 2019

    judging by the latest status report (here) they are making considerable progress with the Xena project, so let’s have a page to record stuff

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 2nd 2019

    Buzzard’s recent post on canonical isomorphism is interesting. I haven’t been following the Xena project. Am I right in thinking they are using Lean but not HoTT? If so, do people think HoTT can treat this canonicity issue properly?

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeJun 2nd 2019

    They are essentially doing classical mathematics in Lean. Certainly not HoTT.

    • CommentRowNumber5.
    • CommentAuthoratmacen
    • CommentTimeJun 2nd 2019

    Mike Shulman had the idea (scroll to the end of the original post for the section “Postscript: which equalities can be made judgmental?”) that HoTT’s judgmental equality could be interpreted as a fully coherent system of paths. So maybe then, the canonical equivalences are the ones that are judgmentally equal to the identity. This way, you formally, absolutely cannot possibly get into trouble thinking of canonical equivalences as equality.

    AFAIK though, it’s not known whether this interpretation actually works.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 26th 2019

    added pointer to

    • Kevin Buzzard, The future of Mathematics?, public lecture at the 80th anniversary celebration of CNRS, May 2019 (recording)

    diff, v6, current

1 to 6 of 6

  1.