Dimension theory is a branch of topology devoted to the definition
and study of the notion of dimension in certain classes of topological
spaces. It originated in the early twenties and rapidly developed during
the next fifteen years. The investigations of that period were concentrated
almost exclusively on separable metric spaces ; they are brilliantly recapitulated in Hurewicz and Wallman’s book Dimension Theory, published
in 1941. After the initial impetus, dimension theory was at a standstill
for ten years or more