|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.
Immersion, regular homotopy, eversion, lift
Math Review Classification
Primary 57R42 ; Secondary 57M99
This article is available in: