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 limit 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 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 subobject 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
    • CommentTimeNov 17th 2010
    • (edited Mar 13th 2012)

    polsihed the defnition at Segal category slightly and added a remark on how composition here is an infinity-anafunctor.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 13th 2012

    have touched Segal category again, expanding Idea and Definition a little more and adding a stubby Properties-section.

  1. Corrected reference to Dwyer/Kan/Smith paper. the name Segal category was not introduced in that paper.

    Jonas Frey

    diff, v30, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 12th 2023
    • (edited Aug 12th 2023)

    Thanks.

    (The claim originated with revision 6.)

    So I have moved the item

    up in the list into chronological order. Is this the origin of the terminology “Segal categories”? (It’s remarkable that later authors use the term without citing where they got it from.)

    Also touched the wording around these bibitems and added more DOI-links, throughout.

    diff, v31, current

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeAug 15th 2023
    • (edited Aug 15th 2023)

    4: very likely. Term Segal condition is more classical but this setup for higher categories has definitely been developed by the Nice school (Université Nice-Sophia-Antipolis) of algebraic geometry whose seniors at the time were Simpson and Hirschowitz. But other pioneers of higher categories who compared approaches like Baez and Leinster could also possibly say about this history.