2014/10/16 by Arnaud Chéritat, Chéritat, Arnaud
Mathematics · #57R42 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57R42
paper · pdf · doi:10.48550/arxiv.1410.4417
16 pages, 7 figures. This version has the following changes: Added computer generated images of the key positions S1 and S2. Corrected several minor mistakes. Corrected the proof of the main proposition (I had forgotten to ensure that the top and bottom curves remain embedded during the homotopy) and slightly changed the statement of Lemma 3 to adapt
arxiv created 2014/10/29 · arxiv updated 2014/10/30
We present a (possibly) new sphere eversion based on the contractibility* of a certain subset of the space of immersions of the circle in the plane. (*: by strong deformation retraction)