An example of a homeomorphism without periodic points is constructed on a tree-like continuum.

Among the many problems attendant to the discovery of exotic generalized manifolds [2, 3] is the \normal bundle" problem, that is, the classi cation of neighborhoods of generalized manifolds tamely embedded in generalized manifolds (with the disjoint disks property). In this paper we study the normal structure of tame embeddings of a closed generalized manifold X into topological manifolds V n+...

A virtual [Formula: see text]-string text] consists of a closed, oriented surface and collection oriented, closed curves immersed in text]. We consider text]-strings up to homotopy, i.e. stabilizations, destabilizations, stable homeomorphism, homotopy. Recently, Cahn proved that any can be virtually homotoped minimally filling crossing-minimal representative by monotonically decreasing both gen...