User secretman - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-20T11:07:04Z http://mathoverflow.net/feeds/user/10854 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/22189/what-is-your-favorite-strange-function/46161#46161 Answer by secretman for What is your favorite "strange" function? secretman 2010-11-15T22:56:07Z 2010-11-15T22:56:07Z <p>The <a href="http://en.wikipedia.org/wiki/Conway_base_13_function" rel="nofollow">Conway base 13 function</a> has to be the weirdest function I know. This function is continuous nowhere, yet it satisfies the intermediate value theorem. Only John Conway...</p> http://mathoverflow.net/questions/46155/a-question-about-the-isometry-group-of-a-finite-metric-space/46157#46157 Answer by secretman for A question about the isometry group of a finite metric space secretman 2010-11-15T22:08:31Z 2010-11-15T22:08:31Z <p>What do you mean? The action isn't transitive, that's all. Note also that an isometry is not necessarily bijective, so you can only say the group of <i>bijective</i> isometries embeds in \$S_n\$.</p> http://mathoverflow.net/questions/46155/a-question-about-the-isometry-group-of-a-finite-metric-space/46157#46157 Comment by secretman secretman 2010-11-15T22:14:45Z 2010-11-15T22:14:45Z Oops, thanks to both, didn't catch that. http://mathoverflow.net/questions/46155/a-question-about-the-isometry-group-of-a-finite-metric-space/46157#46157 Comment by secretman secretman 2010-11-15T22:14:21Z 2010-11-15T22:14:21Z Perhaps you're wondering whether we can narrow down the possible isomorphism type of \$Iso(X,d)\$. I would start by characterizing the isomorphism types of isometry groups of finite metric spaces in general.