Prefer a chat interface with context about you and your work?
On the number of connected components in the space of closed nondegenerate curves on ๐_{๐}
The main definition. A parametrized curve ฮณ : I โ R is called nondegenerate if for any t โ I the vectors ฮณโฒ(t), . . . , ฮณ(t) are linearly independent. Analogously ฮณ : I โ S is called nondegenerate if for any t โ I the covariant derivatives ฮณโฒ(t), โฆ