degree mod 2 of a mapping
Suppose that and are two differentiable manifolds of dimension (without boundary) with compact and connected and suppose that is a differentiable mapping. If is a regular value of , then we denote by the number of points in that map to .
Let be a regular value, then we define the degree mod 2 of by
It can be shown that the degree mod 2 does not depend on the regular value that we pick so that is well defined.
- 1 John W. Milnor. . The University Press of Virginia, Charlottesville, Virginia, 1969.
|Title||degree mod 2 of a mapping|
|Date of creation||2013-03-22 14:52:39|
|Last modified on||2013-03-22 14:52:39|
|Last modified by||jirka (4157)|
|Synonym||degree mod 2|
|Synonym||degree modulo 2|