  In this paper, uniform versions of index for uniform spaces equipped with
free involutions are introduced. They are mainly based on B-index defined and
studied by C.-T. Yang in 1955, index studied by Conner and Floyd in 1960 and
further development well collected by Matou$\check{s}$ek in his book on using
the Borsuk-Ulam theorem in 2003. Examples of uniform spaces with finite B-index
but infinite uniform version of index are given. It is also seen that for a
uniform space $X$ with a free involution $T$, a dense $T$-invariant subspace is
capable of determining the uniform version of index of $(X,T)$. In the end, the
concept of coloring is carried over to uniform set up and, to a certain extent,
connection between uniform versions of coloring and uniform versions of index
is also established.
