In the present work answers the question whether a normal immersion in a surface extends to an immersion of a surface with boundary. Furthermore it is answered how many different extensions exist. At first the case of immersed discs in the sphere is analyzed. Later on the results are extended to arbitrary surfaces in the preimage as well as in the image.
This data repository is not currently reporting usage information. For information on how your repository can submit usage information, please see our documentation.