Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658829 | Topology and its Applications | 2013 | 29 Pages |
Abstract
For each embedded oriented circle c in an n-dimensional closed PL manifold M, we define a canonical embedding with respect to a triangulation of M, of S1ÃÎnâ1 into a regular neighborhood of the embedded circle in M. For n>4, we give a necessary and sufficient condition for an embedding of a surface with boundary in M, such that the embedding together with the canonical embeddings on the boundary components of the surface, extends to an embedding of the regular neighborhood of the surface in Rn to a regular neighborhood of the embedded surface in M.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
D. Dimovski,