An Embedding Theorem for Homeomorphisms of the Closed Disc

Gary D. Jones
1970 Proceedings of the American Mathematical Society  
If/ is an orientation preserving self-homeomorphism of the closed disc D with the property that if x, y(E.D -N, where the set of fixed points N is finite and contained in D-int D, then there exists an arc A CD -N joining x and y such that/n(^4) tends to a fixed point as m->+ », then it is shown that / can be embedded in a continuous flow on D.
doi:10.2307/2036403 fatcat:pbft6jmgu5b27misbbwxz4im5q