Braided embeddings are embeddings to a product disc bundle so the projection to the first factor is a branched cover. They can give rise to lots of (in some cases all) embeddings in the appropriate co-domain. In this paper, we study which branched covers lift to braided embeddings.

4. o -For t se tzungen yon o -Abb i ldungen yon S 2 auf S 2 . . . . . . . . . . . . . . . . . . . 213 5. K o n s t r u k t i o n yon o -Abb i ldungen yon S 3 a u f S 3 . . . . . . . . . . . . . . . .… Expand

Author(s): Hirsch, MW | Abstract: Assume n,k,m,q are positive integers. Let M^n denote a smooth differentiable n-manifold and R^k Euclidean k-space. (a) If M^n is open it imbeds smoothly in R^k,… Expand

Proceedings of the National Academy of Sciences of the United States of America

1923

continuous correspondences on a Riemann surface, whether algebraic or not, uithout recourse to transcendental considerations. (d) Open manifolds. Here an adaptation of a reasoning due to Alexander… Expand

In 1920, J. W. Alexander proved that, if M3 is a closed orientable three-dimensional manifold, then there exists a covering M3→S3 that branches over a link [same Bull. 26 (1919/20), 370–372; Jbuch… Expand

In this paper we study embeddings of contact manifolds using braidings of one manifold about another. In particular, we show how to embed many contact 3‐manifolds into the standard contact 5‐sphere.… Expand

The English word \manifold" evokes images of an object that is layered or folded. Of course,the mathematical de nition is quite di erent where the emphasis is upon \many" such as themultiplicity of… Expand