An injective patch is a patch such that 
implies that 
and 
. An example of a patch which
is injective but not regular is the function defined
by 
for 
.
However, if 
is an injective regular patch, then 
maps 
diffeomorphically onto 
.
Injective Patch
See also
Patch, Regular PatchExplore with Wolfram|Alpha
References
Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 273, 1997.Referenced on Wolfram|Alpha
Injective PatchCite this as:
Weisstein, Eric W. "Injective Patch." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InjectivePatch.html