  In this paper we obtain results indicating that fine shape is tractable and
"not too strong" even in the non-locally compact case, and can be used to
better understand infinite-dimensional metrizable spaces and their homology
theories.
  We show that every Polish space $X$ is fine shape equivalent to the limit of
an inverse sequence of simplicial maps between metric simplicial complexes. A
deeper result is that if $X$ is locally finite dimensional, then the simplicial
maps can be chosen to be non-degenerate. They cannot be chosen to be
non-degenerate if $X$ is the Taylor compactum.
