Abstract
In this chapter we will study immersions of the circle in the plane, called closed curves, and embeddings of the circle in the plane, called simple closed curves. Naturally, the interesting objects are equivalence classes of such immersions or embeddings.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer Science+Business Media New York
About this chapter
Cite this chapter
Berger, M., Gostiaux, B. (1988). Plane Curves: The Global Theory. In: Differential Geometry: Manifolds, Curves, and Surfaces. Graduate Texts in Mathematics, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1033-7_10
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1033-7_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6992-2
Online ISBN: 978-1-4612-1033-7
eBook Packages: Springer Book Archive