Date of Award
Doctor of Philosophy (PhD)
our primary interest in this thesis is in open maps.We begin by examining open simple (at most two to one) maps and consider when a map may be factored into open simple ones. It is determined that the orbit map of a periodic homeomorphism of period 2k has this property. Similar results are obtained for homeomorphisms of other periods. In addition, we show that a periodic homeomorphism of period 2k on an n-manifold which is the identity on a domain must be the identity on the whole manifold, thus extending a result of H. H. &. Newman (10).
Baildon, John David, "OPEN MAPS AND MAPS ONTO TWO-MANIFOLDS" (1971). Graduate Dissertations and Theses. 107.