Uniform equicontinuity

The uniform continuity gleichgradige combines the concepts of uniform and gleichgradiger continuity.

Be, metric spaces, be a subset limited, continuous functions. The family / coulter is called equi- uniformly continuous if and only if:

For all one exists, such that for all and for all:

That is, when specifying a, can be found, so that the statement is true for all the functions of the family and for all the points of the space. So just depends, neither from nor.