Two-dimensional distribution function g(x, y) defined in
[0,1]² is called copula, if
g(x, 1) = x and g(1, y) = y for every
x, y. Similarly, s-dimensional copula is a distribution
function g(x₁, x₂, ..., x_s)
such that every k-dimensional face function

g(1, ..., 1, x_i1, 1, ..., 1, x_i2, 1, ..., 1, x_ik, 1, ..., 1)

is equal to
x_i1x_i2 ··· x_ik
for some but fixed k. In this paper we summarize and extend all
known parts of copulas.

In this paper we use the following abbreviations: