| In this paper we describe geometric properties of embedded liftabilities of immersed 3--manifolds in 4--space into 5--space. It is known that a regular homotopy class of an immersed orientable surface in 3--space is constructed by a pair of an embedded surface and an immersed circle on it. We found an isotopy between embedded lifts of these constructed immersions in 4--space, which covers a regular homotopy of their projections in 3--space. Also we construct non-liftable immersed 3--spheres without quadruple points. |
Keywords
immersion, surfaces, deformation, lift, isotopy
Math Review Classification
Primary 57R42
; Secondary 57M99
Last Updated
20/8/02
Length
24
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