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 comma 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 finite 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 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.
    • CommentAuthorUrs
    • CommentTimeJun 1st 2011
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 6th 2018
    • (edited Nov 6th 2018)

    added mentioning of the strong monoidalness of the suspension spectrum functor (here) with pointer to the proof at the level of model categories from Introduction to Stable homotopy theory – 1-2

    diff, v17, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2019

    below the argument for strong monoidalness via model categories, I added pointer to the more abstract argument:

    More abstractly this follows from general properties of stabilization when regarding stable homotopy theory as the result of inverting smash product with the circle, via Robalo 12, last clause of Prop. 4.1 with last clause of Prop. 4.10 (1) . For emphasis see also Hoyois 15, section 6.1, specifically Hoyois 15, Def. 6.1.

    diff, v18, current

    • CommentRowNumber4.
    • CommentAuthorAli Caglayan
    • CommentTimeJan 2nd 2019

    Is it monoidalness or monoidality?

    • CommentRowNumber5.
    • CommentAuthorMike Shulman
    • CommentTimeJan 3rd 2019

    I think both are reasonable according to the rules of English. “Monoidality” sounds a bit more euphonious to me, but perhaps also a little less obvious in its meaning, so I figure it’s a toss-up.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 3rd 2019

    If anyone feels it should be changed after all, please feel free to do so, I am not sold on it, just needed a word.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeNov 11th 2022

    added pointer to formalization in dependent linear homotopy type theory:

    diff, v22, current