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.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 26th 2017

    The usual notion of Peano curve involves continuous images of the unit interval, not the whole real line (which could be considered as well, of course).

    So I made some adjustments and stated some relevant facts at Peano curve, with a few pointers to proofs and to literature.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 25th 2022
    • (edited Jun 25th 2022)

    added cross-link with Giuseppe Peano (but haven’t dug out any original reference)

    diff, v14, current

  1. Added the original reference:

    * [[Guiseppe Peano]], *Sur une courbe, qui remplit toute une aire plane*, Mathematische Annalen, **36** 1 (1890) 157–160 [[doi:10.1007/BF01199438](]

    (Note that an HTML entity reference can be used to escape the first [)


    diff, v15, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 25th 2022

    Thanks! I have added the reference also to the entry Giuseppe Peanohere.

    (I guess it must be “Giuseppe” not “Guiseppe”. Will need to fix our misspelled/duplicate entry, too…)

    Finally, thanks for making the good point about the escaped character. The problem is that I won’t remember [ as well as $[$, but I guess I should try. If only to stop Instiki from making a line break after the character. :-)

  2. Added reference to Sagan’s 1994 Universitext Space-filling curves.

    Sorry about the typo! I reckon [ is slightly cheaper than $[$ on the client side since it doesn’t get turned into MathJax (there’s apparently also [ according to §3.1 of the HTML spec). I tend to just copy the citation markup from the nForum thread to make absolutely sure it’s the same (esp. since the italicization is the other way round from APA style, Chicago style, MLA style, and ASA style).


    diff, v17, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 26th 2022

    Thanks for pointing out [/], I had not thought of these. That should be a good compromise, I have recorded that here now.