Yet another sphere eversion
Geometric Topology
2014-10-30 v2
Abstract
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)
Keywords
Cite
@article{arxiv.1410.4417,
title = {Yet another sphere eversion},
author = {Arnaud Chéritat},
journal= {arXiv preprint arXiv:1410.4417},
year = {2014}
}
Comments
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