Making spaces wild (simply-connected case)

Abstract We attach copies of the circle to points of a countable subset D of a separable metric space X and construct an earring space E ( X , D ) . We show that the fundamental group of E ( X , D ) is isomorphic to a subgroup of the Hawaiian earring group, if the space X is simply-connected and locally simply-connected. In addition if the space X is locally path-connected and D is dense in X, the space X can be recovered from the fundamental group of E ( X , D ) .