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On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space
- Part of
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 154 / Issue 1 / February 2024
- Published online by Cambridge University Press:
- 26 January 2023, pp. 60-104
- Print publication:
- February 2024
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- Article
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We obtain a complete topological classification of $k$
-folding map-germs on generic surfaces in $\mathbb {R}^3$
, discover new robust features of surfaces and recover, in a unified way, many of the robust features that were obtained previously by considering the contact of a surface with lines, planes or spheres.
