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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 5th 2011

    I have briefly created bump function in partiaL reply to this question

    (I have otherwise replied to that question by email.)

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 5th 2011

    I slightly modified the text and added a bit more.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 5th 2011

    Thanks! I have added some links.

    We should eventually add a link to this from smooth function, but currently the cache bug prevents editing the latter entry.

    • CommentRowNumber4.
    • CommentAuthorTobyBartels
    • CommentTimeDec 6th 2011

    We should eventually add a link to this from smooth function, but currently the cache bug prevents editing the latter entry.

    You can still edit it at the correct title, smooth map. (The search function might help here.) I have so edited it.

    • CommentRowNumber5.
    • CommentAuthorTobyBartels
    • CommentTimeDec 6th 2011

    The article only defined bump functions on cartesian spaces, but one often considers them on arbitrary smooth manifolds. I changed this, putting in (I think) the conditions that make a bump function interesting: that it be non-zero on a non-compact domain.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 6th 2011
    • (edited Dec 6th 2011)

    but one often considers them on arbitrary smooth manifolds. I changed this,

    Good, thanks.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMay 12th 2017
    • (edited May 12th 2017)

    I have expanded the discussion at bump function a little.

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