A. Chéritat. (2014)cite arxiv:1410.4417Comment: 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.
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)
cite arxiv:1410.4417Comment: 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
%0 Generic
%1 cheritat2014another
%A Chéritat, Arnaud
%D 2014
%K 2014 arxiv geometry paper
%T Yet another sphere eversion
%U http://arxiv.org/abs/1410.4417
%X 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)
@misc{cheritat2014another,
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)},
added-at = {2019-06-03T07:57:55.000+0200},
author = {Chéritat, Arnaud},
biburl = {https://www.bibsonomy.org/bibtex/225e6d16dc0e8ae2d51715e5ce74081a2/analyst},
description = {[1410.4417] Yet another sphere eversion},
interhash = {9c35165db03abe6c293e0264b41f4c6c},
intrahash = {25e6d16dc0e8ae2d51715e5ce74081a2},
keywords = {2014 arxiv geometry paper},
note = {cite arxiv:1410.4417Comment: 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},
timestamp = {2019-06-03T07:57:55.000+0200},
title = {Yet another sphere eversion},
url = {http://arxiv.org/abs/1410.4417},
year = 2014
}