What do open sets in \$SO(3,\mathbb{R})\$ look like? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-06-18T21:34:22Z http://mathoverflow.net/feeds/question/61137 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/61137/what-do-open-sets-in-so3-mathbbr-look-like What do open sets in \$SO(3,\mathbb{R})\$ look like? Daniel 2011-04-09T13:36:16Z 2011-04-09T15:46:51Z <p>Greetings everyone,</p> <p>I'm a little confused about what open sets in \$SO(3,\mathbb{R})\$ essentially "look like".</p> <p>Any ideas?</p> <p>Thanks!</p> http://mathoverflow.net/questions/61137/what-do-open-sets-in-so3-mathbbr-look-like/61139#61139 Answer by Corbennick for What do open sets in \$SO(3,\mathbb{R})\$ look like? Corbennick 2011-04-09T14:01:28Z 2011-04-09T14:01:28Z <p>Visualizing is not always appropriate. You rather want to use the theorem of Ehresmann <a href="http://en.wikipedia.org/wiki/Ehresmann" rel="nofollow">http://en.wikipedia.org/wiki/Ehresmann</a>'s_theorem.</p>