We classify the path-components of the space of circle-valued Morse functions on compact surfaces: two Morse functions f,g : → belong to same path-component o

In the early 1920s M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold.

The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often c