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 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 sheaves 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.
    • CommentAuthorAndrew Stacey
    • CommentTimeMay 22nd 2013

    (I’m currently reading through Keller’s book Differential Calculus in Locally Convex Spaces.)

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeMay 23rd 2013

    bounded set this used to redirect to bornalogical space

    You mean that it redirected to bornological set (spelling and word fix).

    I agree with separating this out, but it should discuss other meanings of the phrase. Basically, describe all bornologies that people use implicitly!

    • CommentRowNumber3.
    • CommentAuthorAndrew Stacey
    • CommentTimeMay 23rd 2013

    And one more: continuously differentiable. Not sure that’s the best title for that page, perhaps calculus in locally convex spaces would be more accurate.

    • CommentRowNumber4.
    • CommentAuthorAndrew Stacey
    • CommentTimeMay 23rd 2013
    • CommentRowNumber5.
    • CommentAuthorAndrew Stacey
    • CommentTimeMay 23rd 2013

    nuclear space

    (I’m on a roll, here)

    • CommentRowNumber6.
    • CommentAuthorTobyBartels
    • CommentTimeMay 23rd 2013

    And one more: continuously differentiable. Not sure that’s the best title for that page, perhaps calculus in locally convex spaces would be more accurate.

    Yeah, we already had continuously differentiable map redirecting, but that's a page that covers a lot more.

    The reason that you didn't find that page from just continuously differentiable is that page titles are nouns, not adjectives. So I moved it to continuously differentiable map (and redid differentiable map to link there).

    On the same basis, I moved absorbing to absorbing subset and absolutely convex to absolutely convex subset. Of course, the cache bug is infecting all of these.

    • CommentRowNumber7.
    • CommentAuthorAndrew Stacey
    • CommentTimeMay 23rd 2013

    I did find differentiable map via Gâteaux derivative but judged that what I wanted to write was better served on a separate page.

    I’m sorry for forgetting the convention! In recompense I’ve cleared the relevant pages from the cache.

    • CommentRowNumber8.
    • CommentAuthorTobyBartels
    • CommentTimeMay 23rd 2013

    I do like your separate page and find that it's a good place for continuously differentiable to lead. I had no idea that there was so much variability in the notion!

    • CommentRowNumber9.
    • CommentAuthorAndrew Stacey
    • CommentTimeMay 23rd 2013

    Nor had I … until I got to reading about it. I figured that this is meant to be my area of expertise so I’d better read the basic texts on it.

    • CommentRowNumber10.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 24th 2013

    Is it just me, or is the limit in definition 1 at continuously differentiable map not quite right?

    • CommentRowNumber11.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 24th 2013

    Looks like a factor of tt is missing from Df(x)hD f(x)h.

    • CommentRowNumber12.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 24th 2013

    That’s what I thought.

    • CommentRowNumber13.
    • CommentAuthorAndrew Stacey
    • CommentTimeMay 24th 2013

    Looks alright to me (oh the joys of using a wiki .. !)

    • CommentRowNumber14.
    • CommentAuthorTobyBartels
    • CommentTimeJun 9th 2013

    With nuclear space, you actually created Nuclear space and so missed nuclear topological vector space (to which nuclear space had redirected). I copied that material to your page; its old edit history is at nuclear topological vector space > history now.

    • CommentRowNumber15.
    • CommentAuthorTobyBartels
    • CommentTimeJun 9th 2013

    I put the notion of bounded set in a metric space at bounded set and linked that from bornological set.

    • CommentRowNumber16.
    • CommentAuthorTobyBartels
    • CommentTimeJun 9th 2013

    I put in a bunch of alternative definitions at precompact space, with a brief discussion of when they're equivalent.