6: Intro to Surfaces in R3

Question 1

c is a regular value of f is all points in the ___ are regular points

Answer 1

preimage

Question 2

c is called a ___ of f is the preimage contains a critical point

Answer 2

critical value

Question 3

if u is open and f is smooth and c is a regular value of f then the preimage is a ___ in R3

Answer 3

regular surface

Question 4

a smooth map is a ___ if it is bijective and if its inverse is also smooth

Answer 4

diffeomorphism