Displaying similar documents to “The winding number on two manifolds”

Further remarks on the winding number

Bruce L. Reinhart (1963)

Annales de l'institut Fourier

Similarity:

Dans cet article, on donne une méthode géométrique puis une amélioration de la méthode algébrique pour calculer le “winding number” d’une courbe de Jordan, régulière sur une variété compacte orientée. La méthode géométrique est très importante pour faire comprendre le sens intuitif du “winding number”.

Characterization of compact subsets of curves with ω-continuous derivatives

Marcin Pilipczuk (2011)

Fundamenta Mathematicae

Similarity:

We give a characterization of compact subsets of finite unions of disjoint finite-length curves in ℝⁿ with ω-continuous derivative and without self-intersections. Intuitively, our condition can be formulated as follows: there exists a finite set of regular curves covering a compact set K iff every triple of points of K behaves like a triple of points of a regular curve. This work was inspired by theorems by Jones, Okikiolu, Schul and others that characterize compact...