On minimal round functions
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Publication date
1999-01-01
Authors
Khimshiashvili, G.
Siersma, D.
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Document Type
Preprint
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Abstract
We describe the structure of minimal round functions on closed surfaces and three-folds. 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.
Keywords
round function, equisingular critical loop, almost Morse round function, Lusternik-Schnirelmann category