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    • 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.