Document Type
Thesis
Date of Award
5-1971
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematical Sciences
Subject Heading(s)
Manifolds (Mathematics); Topology
Abstract
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).
Recommended Citation
Baildon, John David, "Open maps and maps onto two-manifolds" (1971). Graduate Dissertations and Theses. 107.
https://orb.binghamton.edu/dissertation_and_theses/107
