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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 5th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have briefly created [[bump function]] in partiaL reply to [this question](http://www.math.ntnu.no/~stacey/Mathforge/comments.php?DiscussionID=12&page=1#Item_1) (I have otherwise replied to that question by email.)

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

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

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeDec 5th 2011
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI slightly modified the text and added a bit more.

   I slightly modified the text and added a bit more.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 5th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks! 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.

   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.

4. • CommentRowNumber4.
   • CommentAuthorTobyBartels
   • CommentTimeDec 6th 2011
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItex>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.

   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.

5. • CommentRowNumber5.
   • CommentAuthorTobyBartels
   • CommentTimeDec 6th 2011
   • PermaLink
   Author: TobyBartels
   Format: MarkdownItexThe 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.

   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.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeDec 6th 2011
   • (edited Dec 6th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItex> but one often considers them on arbitrary smooth manifolds. I changed this, Good, thanks.

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

   Good, thanks.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeMay 12th 2017
   • (edited May 12th 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have expanded the discussion at _[[bump function]]_ a little.

   I have expanded the discussion at bump function a little.

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeJul 2nd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to a textbook account: * [[John Lee]], Prop. 2.25 in: *Introduction to Smooth Manifolds*, Springer (2012) &lbrack;[doi:10.1007/978-1-4419-9982-5](https://doi.org/10.1007/978-1-4419-9982-5), [book webpage](https://sites.math.washington.edu/~lee/Books/ISM/), [pdf](https://math.berkeley.edu/~jchaidez/materials/reu/lee_smooth_manifolds.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/bump+function/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/bump+function/17">v17</a>, <a href="https://ncatlab.org/nlab/show/bump+function">current</a>

   added pointer to a textbook account:

   • John Lee, Prop. 2.25 in: Introduction to Smooth Manifolds, Springer (2012) [doi:10.1007/978-1-4419-9982-5, book webpage, pdf]

   diff, v17, current