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An algebraic halfway model for the eversion of the sphere (with an Appendix by Bernard Morin)

An algebraic halfway model for the eversion of the sphere (with an Appendix by Bernard Morin)

In this paper, I construct a new version of the halfway model for the eversion of the sphere, called the closed halfway model, whose image can readily be shown to be the set of zeros of an explicit polynomial of degree eight.For this purpose, a 4-parameter family of halfway models …