Subject: Question on eversions
From: hrm@math.mit.edu (Haynes Miller)
Date: Tue, 3 Jul 2007 09:57:04 -0400 (EDT)
I'm giving a talk to an undergraduate audience about immersions and
the eversion of the 2-sphere. If I understand Smale correctly, the
space of immersions of S^2 into R^3 is connected but its fundamental group
infinite cyclic - so there are countably many distinct eversions.
Is this right? How many classes are represented by the various available
visualizations? Is there a visualization on the web of a generating
regular
isotopy of the standard embedding to itself?
Haynes Miller