  We investigate properties of the color space of $SU(N_c)$ gauge theories in
the limit of small number of colors $(N_c \to 0)$ and large number of flavors.
More generally, we introduce a rescaling of $\alpha_s$ and $n_f$ which assigns
a finite limit to colored quantities as $N_c \to 0$, which reproduces their
known large-$N_c$ limit, and which expresses them as an analytic function of
$N_c^2$ for arbitrary value of $N_c$. The vanishing-$N_c$ limit has an Abelian
character and is also the small-$N_c$ limit of $[U(1)]^{N_c-1}$. This limit
does not have an obvious quantum field theory interpretation; however, it
provides practical consistency checks on QCD perturbative quantities by
comparing them to their QED counterparts. Our analysis also describes the
two-dimensional topological structure involved in the interpretation of the
small $N_c$-limit in color space.
