A note on immersed 3-spheres in 4-space

Tsukasa Yashiro

Abstract

There are two special immersed 3--spheres in 4--space, which
generate regular homotopy classes of immersed 3--spheres in 4--space.
They are constructed with
a special sphere eversion called $FM$--eversion.
In this note we use geometric approaches
to show an immersed 3--sphere in 4--space constructed with
$FM$--eversions are not liftable into 5--space.


Keywords
Immersion, regular homotopy, eversion, lift

Math Review Classification
Primary 57R42 ; Secondary 57M99

Last Updated
5/8/02

Length
20 pages

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