Winding numbers of regular closed curves on aspherical surfaces
classification
🧮 math.GT
keywords
closedcurvesregularwindinghomotopicnumberssurfacesaspherical
read the original abstract
We define winding numbers of regular closed curves on surfaces with a nice euclidean or hyperbolic geometry. We prove that two regular closed curves are regularly homotopic if and only if they are freely homotopic and have the same winding number.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.