Not signed in (Sign In)

Start a new discussion

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 beauty bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality education elliptic-cohomology enriched fibration 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 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 multicategories 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 science set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory string string-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory 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.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 16th 2019

    Finally made a page for the concept mentioned by Mike in a 2016 n-Café discussion.

    I’d be interested in examples that weren’t already relevance monoidal categories (ie, not symmetric).

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 16th 2019

    I should check (or someone can confirm) if the smash product makes sense for pointed objects in an arbitrary (cocomplete etc) monoidal category. Then this might be an example of the sort I was looking for.

    • CommentRowNumber3.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 17th 2019

    Included context menu

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorSam Staton
    • CommentTimeApr 17th 2019

    Mentioned “copyability” terminology for this

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 18th 2019

    Changed \vee to \wedge.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 18th 2019

    Thanks, Todd. Don’t know why I used \vee

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 9th 2020

    The first sentence used to seemingly claim that in a general monoidal categoy there are no morphisms of the form xxxx \to x \otimes x. I have reworded a bit.

    diff, v5, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJan 19th 2021
    • (edited Jan 19th 2021)

    I have expanded out (here) the example of the smash product on pointed sets/spaces. Since the same example also serves in related entries, I have written it into its own entry smash-monoidal diagonals – section and !includeed it here

    diff, v7, current

    • CommentRowNumber9.
    • CommentAuthorRodMcGuire
    • CommentTimeJan 19th 2021

    trying to see the diff of monoidal category with diagonals gave me

    500 Internal Server Error

    several times repeatedly. But while I was trying to track the error down and report it it went away.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJan 19th 2021

    Even without the error message, the diff on my revision 7 is not very useful, as it fails to render all the LaTeX-style code. My understanding is that this is because the renovated parser operates only on the public page, but nor on diff-s nor on the page history.

    For that reason I try to keep pointing directly to where I made changes. In the present case, the changes are the entirety of this section.

    • CommentRowNumber11.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 30th 2021

    Added the example

    diff, v8, current

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)