Open maps and maps onto two-manifolds

<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>

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematical Sciences

Year

1971

Author dc:creator

• Baildon, John David

Repository record dc:identifier

https://orb.binghamton.edu/dissertation_and_theses/107

OAI identifier oai:identifier

oai:orb.binghamton.edu:dissertation_and_theses-1112