(adsbygoogle = window.adsbygoogle || []).push({}); How to determine whether the preimage of a point is a imbedding submanifold??

Dear Folks:

It is well known that the preimage of a regular point is a imbedding submanifold, but is it possible that the preimage of a critical point is also a imbedding submanifold?? More generally, is there a prosedure to determine when the preimage of a point is a imbedding ??

Many thanks!!

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# How to determine whether the preimage of a point is a imbedding submanifold?

**Physics Forums | Science Articles, Homework Help, Discussion**