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Binghamton University

Heegaard splittings for an infinite family of closed orientable 3-manifolds

Abstract

dc:description.abstract

<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>

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy (PhD)
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematical Sciences
Year
1976

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Dibner, Steve
Contributors dc:contributor
  • Louis F. McAuley
  • Ross Geoghegan
  • Sol Raboy

Subjects

dc:subject × 2

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:orb.binghamton.edu:dissertation_and_theses-1325

Chain of custody

source
Harvested from
Binghamton University
Base URL
orb.binghamton.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Dibner, Steve. Heegaard splittings for an infinite family of closed orientable 3-manifolds. Dissertation thesis, 1976. https://orb.binghamton.edu/dissertation_and_theses/319