  We formulate and study the notion of $d$-skeletal diffeology, which
generalizes that of wire diffeology, introducing the dual notion of
$d$-coskeletal diffeology. We first show that paracompact finite-dimensional
$C^\infty$-manifolds $M_d$ with $d$-skeletal diffeology inherit good topologies
and smooth paracompactness from $M$. We then study the pathology of $M_d$.
Above all, we prove the following: For $d<{\rm dim}\ M$, every immersion
$f:M\longrightarrow N$ is isolated in the diffeological space $\dcal(M_d, N_d)$
of smooth maps and the $d$-dimensional smooth homotopy group of $M_d$ is
uncountable.
