The 1997 Cleveland Workshop on Topology and Cosmology was a remarkable
opportunity for mathematicians and cosmologist with overlapping inter
ests in the topology of 3-space to discuss the state of knowledge in t
heir fields. This special issue reflects the wide range of talks given
at the conference including both introductions/reviews of the relevan
t fields of mathematics and cosmology and new contributions to the sch
olarship in these fields. In this introduction to the special issue, a
brief history is given of the study of the topology of the universe.
Some attempt is also made to introduce and discuss each of the papers
in the collection and to relate them to each other and to the wider co
nversation on the global topology of the universe.