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Thread moved from the technical forums to the schoolwork forums

**TL;DR Summary:**Here is the exercise: "Prove that {(x, y, z) within R^3 : x^2 + y^2 - z^2 = 0} is not a regular surface".

"Prove that {(x, y, z) within R^3 : x^2 + y^2 - z^2 = 0} is not a regular surface". Any help would be so greatly appreciated!!! Soo confused. We are trying to show that it is impossible to create a diffeomorphism from a neighborhood to an open set (subsequently disproving the conditions of the definition), but we are struggling of course:) Thank you!!