Abstract
The Baer-Specker group Π = Z ℵ0 is the product of countably many copies of the additive group of integers. We are concerned with subgroups of Π that are free abelian groups. Among the issues we consider are testing freeness of a subgroup by means of its intersections with other specified subgroups, the relationship between freeness and other “smallness” properties, and constraints on the location of free subgroups within Π.