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 bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory 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 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 homology homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory kan 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 natural nforum nlab nonassociative 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 string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topological 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).
  1. A page with diagrams representing separation axioms T0-T4 as lifting properties, to be included into the separation axioms.

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeOct 16th 2021
    It would help if one could put several diagrams next to each other, not below each other. I do not know how to do this..
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 17th 2021

    As far as I know it is not currently possible to arrange TikZ-diagrams next to each other inside nnLab entries.

    But an easy hack might be to group tikzcd-diagrams inside a tikzpicture-environment. Let me try that out in the Sandbox…

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 17th 2021
    • (edited Oct 17th 2021)

    Okay, I checked and it does not currently work here to have tikzcd-environments inside tikzpicture-environments. But the error message suggests that the only reason is that the tikzcd-package isn’t being loaded when TikZ is called via tikzpicture. If that’s the case, Richard would be able to easily change this. I’ll drop a note on this in the thread “bugs and feature requests”: here.

    • CommentRowNumber5.
    • CommentAuthorGuest
    • CommentTimeOct 19th 2021
    Many thanks!

    Do you think the diagrams in this page are clear to the intended reader, with the little explanation provided ?
    If yes, should I add !include this page alongside the table of separation axioms , in the pages for [[normal space etc ?
    Alternatively, I could add an appropriate diagram + this short explanation + link to separation axioms as lifting properties
    at the pages for normal, regular, etc spaces ?

    What would be most appropriate ?
    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeOct 19th 2021
    • (edited Oct 19th 2021)

    I see. Okay, I have edited the entry a little, to make it work well as an !include-page:

    • added a section header and inside it Proposition-environments for various claims,

    • expanded out the lead-in text a little to make it more inviting,

    • gave each of the diagrams a brief text saying what it’s about, with a pointer to the corresponding separation axiom.

    Now to include this as a Properties-section in the relevant entries, to add the following line at the desired spot

      [[!include main separation axioms -- as lifting properties]]
    

    diff, v2, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeOct 19th 2021

    Now I have !include-ed the section as a Properties-subsection into the relevant entries

    (e.g. at Hausdorff space, see the announcement here).

    Except for the case of T 1T_1, as that is currently redirecting just to separation axiom. It might be good to remove that redirect and instead make T1-space a page.

  2. Thanks, I wouldn’t have been able to write that well. Seems the separation axioms work is going to an end…

    I shall try to make a page for T1.

    Anonymous

    diff, v3, 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)