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).
","abstract_html":"<p>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).</p>","abstract_has_math":false,"creators":["Baildon, John David"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Thesis","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1971,"date_issued":"1971-05-01T07:00:00Z","date_published":"1971-05-01T07:00:00Z","updated_at":"2026-07-24T01:10:28Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://orb.binghamton.edu/dissertation_and_theses/107","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Baildon, John David"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://orb.binghamton.edu/dissertation_and_theses/107"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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).
"]},{"key":"dc:title","label":"Title","values":["Open maps and maps onto two-manifolds"]}]}],"canonical_facts":{"dc:creator":["Baildon, John David"],"dc:description.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).
"],"dc:identifier":["https://orb.binghamton.edu/dissertation_and_theses/107"],"dc:title":["Open maps and maps onto two-manifolds"],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T01:10:28Z"}