Embedding (simple definition)
(Difference between revisions)
Askopenkov (Talk | contribs)
(Created page with " {{Stub}} == Definition == <wikitex>; A ''smooth embedding'' of a smooth compact manifold $N$ into a smooth manifold is a smooth injective map $f:N\to M$ such that $df$ is a m...")
Newer edit →
(Created page with " {{Stub}} == Definition == <wikitex>; A ''smooth embedding'' of a smooth compact manifold $N$ into a smooth manifold is a smooth injective map $f:N\to M$ such that $df$ is a m...")
Newer edit →
Revision as of 13:03, 26 April 2016
This page has not been refereed. The information given here might be incomplete or provisional. |
1 Definition
A smooth embedding of a smooth compact manifold into a smooth manifold is a smooth injective map such that is a monomorphism at each point.
A map of a polyhedron is piecewise-linear (PL) if it is linear on each simplex of some smooth triangulation of . A PL embedding of a compact polyhedron into is a PL injective map .
A topological embedding of a compact subset into is a continuous injective map .