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 Mar 22 comment Locally disk-preserving charts? @AnthonyCarapetis: I don't believe that is true. As long as your circle doesn't intersect the north pole, then the image is a circle in the plane. Mar 21 revised Locally disk-preserving charts? added 115 characters in body Mar 21 comment Locally disk-preserving charts? Oh, I see that I have been sloppy. Let me try an edit. Sorry about that. Mar 21 revised Locally disk-preserving charts? added 127 characters in body Mar 21 comment Locally disk-preserving charts? Hmm.. But I want this to be true for all points inside the same chart. I.e, for (small enough) radii $r_1$ and $r_2$ I want the image of $B_{r_1}(p)$ and $B_{r_2}(q)$ to be disks. Mar 21 revised Locally disk-preserving charts? edited body Mar 21 asked Locally disk-preserving charts? Dec 11 comment Positive reach.. Hmm... Yeah, you could use a triangle or something similar. But now I'm confused about the condiitions in the paper! Dec 11 asked Positive reach.. Nov 9 answered Counting problem(product rule) Oct 28 awarded Yearling Aug 23 accepted Isomorphism between colimits. Aug 21 revised Isomorphism between colimits. added 66 characters in body Aug 21 asked Isomorphism between colimits. Jul 9 accepted Inverse of regular value is a submanifold, Milnor's proof Jun 30 comment Determine subsequence of sequence If you want any help you need to be more specific! Please give an explicit example of something you find difficult. Mar 30 awarded Nice Answer Mar 29 comment Prob. 14, Sec. 2.7 in Erwine Kreyszig's INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS What if you let $x = e_i = (0, \ldots, 1, \ldots, 0)$ where the 1 occurs at the $i$-th position? Mar 19 awarded Popular Question Feb 10 comment Find all x numbers for $(x-1)(x-3) > 0$ When is a product of two numbers positive? When both are positive or both negative.