A Subset is called a regular surface if for each point , there exists a Neighborhood of in and a Map of an Open Set onto such that

- 1. is differentiable,
- 2. is a Homeomorphism, and
- 3. Each map is a Regular Patch.

**References**

Gray, A. ``The Definition of a Regular Surface in .'' §10.4 in
*Modern Differential Geometry of Curves and Surfaces.*
Boca Raton, FL: CRC Press, pp. 195-200, 1993.

© 1996-9

1999-05-25