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).
    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeJan 31st 2019

    Added link to the “current” version from Lurie’s web site, which is even more recently updated than the arXiv one.

    diff, v96, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 14th 2021

    cross-linked with Kerodon

    diff, v100, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeApr 13th 2021
    • (edited Apr 13th 2021)

    When Lurie says phrases like “preserves filtered colimits” or “admits filtered colimits”, should I always assume he omitted the word “small” if he doesn’t explicitly emphasize not to?

    I’d been subconsciously inserting it previously, but I’ve been trying to pay attention to finer details lately and noticed switching in places that seemed odd (e.g. definition 5.3.4.5 of continuous functor and compact object) and inconsistent (e.g. proposition 5.3.4.10). So I’m wondering if my previous habit was correct – that I should always be inserting “small” – or if there are times when Lurie really does intend to distinguish between the two classes in places without emphasizing it.