Graph of A Function - Generalizations

Generalizations

The graph of a function is contained in a cartesian product of sets. An XY plane is a cartesian product of two lines, called X and Y, while a cylinder is a cartesian product of a line and a circle, whose height, radius, and angle assign precise locations of the points. Fibre bundles aren't cartesian products, but appear to be up close. There is a corresponding notion of a graph on a fibre bundle called a section.

Read more about this topic:  Graph Of A Function