Nothing in Chapter One is new. In Chapters Two and Four, the families of examples Li,j, Mi,j and Mi,j,k are new, although particular cases have been described in the literature; most notably L1,2 and M1,2,3 have been described by Barry Mazur, by E.C. Zeeman, and by Robert Edwards. In Chapter Three there are no new theorems, but the questions raised and some of the descriptions given in Chapter Three were not found in the literature. Chapter Five (except the first section) and Chapter Six comprise new methods of obtaining Heegaard splittings, and of computing link groups, respectively.
","abstract_html":"<p>Nothing in Chapter One is new. In Chapters Two and Four, the families of examples L<sub>i,j</sub>, M<sub>i,j</sub> and M<sub>i,j,k</sub> are new, although particular cases have been described in the literature; most notably L<sub>1,2</sub> and M<sub>1,2,3</sub> have been described by Barry Mazur, by E.C. Zeeman, and by Robert Edwards. In Chapter Three there are no new theorems, but the questions raised and some of the descriptions given in Chapter Three were not found in the literature. Chapter Five (except the first section) and Chapter Six comprise new methods of obtaining Heegaard splittings, and of computing link groups, respectively.</p>","abstract_has_math":false,"creators":["Dibner, Steve"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":["Louis F. McAuley","Ross Geoghegan","Sol Raboy"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1976,"date_issued":"1976-01-01T08:00:00Z","date_published":"1976-01-01T08:00:00Z","updated_at":"2026-07-24T01:10:35Z","subjects":["Manifold (Mathematics)","Three-manifolds (Topology)"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://orb.binghamton.edu/dissertation_and_theses/319","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Louis F. McAuley","Ross Geoghegan","Sol Raboy"]},{"key":"dc:creator","label":"Author","values":["Dibner, Steve"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Manifold (Mathematics)","Three-manifolds (Topology)"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://orb.binghamton.edu/dissertation_and_theses/319"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Nothing in Chapter One is new. In Chapters Two and Four, the families of examples Li,j, Mi,j and Mi,j,k are new, although particular cases have been described in the literature; most notably L1,2 and M1,2,3 have been described by Barry Mazur, by E.C. Zeeman, and by Robert Edwards. In Chapter Three there are no new theorems, but the questions raised and some of the descriptions given in Chapter Three were not found in the literature. Chapter Five (except the first section) and Chapter Six comprise new methods of obtaining Heegaard splittings, and of computing link groups, respectively.
"]},{"key":"dc:title","label":"Title","values":["Heegaard splittings for an infinite family of closed orientable 3-manifolds"]}]}],"canonical_facts":{"dc:contributor":["Louis F. McAuley","Ross Geoghegan","Sol Raboy"],"dc:creator":["Dibner, Steve"],"dc:description.abstract":["Nothing in Chapter One is new. In Chapters Two and Four, the families of examples Li,j, Mi,j and Mi,j,k are new, although particular cases have been described in the literature; most notably L1,2 and M1,2,3 have been described by Barry Mazur, by E.C. Zeeman, and by Robert Edwards. In Chapter Three there are no new theorems, but the questions raised and some of the descriptions given in Chapter Three were not found in the literature. Chapter Five (except the first section) and Chapter Six comprise new methods of obtaining Heegaard splittings, and of computing link groups, respectively.
"],"dc:identifier":["https://orb.binghamton.edu/dissertation_and_theses/319"],"dc:subject":["Manifold (Mathematics)","Three-manifolds (Topology)"],"dc:title":["Heegaard splittings for an infinite family of closed orientable 3-manifolds"],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T01:10:35Z"}