  We develop tools to recognize sequential spaces with large inductive
dimension zero. We show the Hawaiian earring group $G$ is 0 dimensional, when
endowed with the quotient topology, inherited from the space of based loops
with the compact open topology. In particular $G$ is $T_4$ and hence inclusion
$G \rightarrow F_M (G)$ is a topological embedding into the free topological
group $F_M (G)$ in the sense of Markov.
