Remarks on minimal round functions
Volume 62 / 2003
Banach Center Publications 62 (2003), 159-172
MSC: Primary 57R70; secondary 55M30
DOI: 10.4064/bc62-0-12
Abstract
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.
