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Remarks on minimal round functions

Georgi Khimshiashvili, Dirk Siersma (2003)

Banach Center Publications

We describe the structure of minimal round functions on compact closed surfaces and three-dimensional manifolds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-Schnirelmann theory suitable for round functions.

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