Actual embedding

from Wikipedia, the free encyclopedia

In mathematics , the actual embedding is an embedding term that is mainly used in topology when examining manifolds with a boundary .


Be and manifolds with boundaries .

An image is called actual embedding if it

  • is an embedding, and
  • such as


The definition is equivalent to the fact that the restriction is to an embedding and an actual mapping .

In the theory of differentiable manifolds one also demands that it is transversal to .


  • Hempel, John 3-manifolds. Reprint of the 1976 original. AMS Chelsea Publishing, Providence, RI, 2004. ISBN 0-8218-3695-1