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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