The structure of codimension one flows
Abstract
A codimension one flow is a transformation group (X,R(n1),pi) where X is a compact ndimensional topological manifold without boundary, R(n1) is real Euclidean space of dimensions n1, and pi is a flow map. It is known that if x is any point in x with discrete isotropy group, then x is contained in a transversal set (a section of the flow. It is shown that these sections can be chosen to be homeomorphic to the unit interval. Furthermore, if X contains a transversal set C which is homeomorphic to the unit circle, S(1), such that C times R(n1) is a regular covering space of X (with covering projection pi), then pi sub 1(X) is a free Abelian group on finitely many generators whenever (x,R(n1),pi) is minimal and isotropy free.
 Publication:

Ph.D. Thesis
 Pub Date:
 February 1976
 Bibcode:
 1976PhDT........60D
 Keywords:

 Manifolds (Mathematics);
 One Dimensional Flow;
 Transformations (Mathematics);
 Euclidean Geometry;
 Homomorphisms;
 Isotropy;
 Fluid Mechanics and Heat Transfer