Fiber bundles the easy way.
Fiber bundles the easy way.
Consider an evolutionary process that carries points of an initial state into points of a final state. When the process is described by a vector field, the tangents to the vector field define a set of lines which are Fibers projecting into the Base of the final state. The evolutionary process need not be singly paramatrized, and moreover it need not be an element of a group. However, such restrictions are not useful to the study of open irreversible processes. As I have time I will replace this under construction symbol with a link to a more detailed pdf or tex file download.