Document Type

Dissertation

Date of Award

1976

Keywords

Manifold (Mathematics), Three-manifolds (Topology)

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematical Sciences

First Advisor

Louis F. McAuley

Second Advisor

Ross Geoghegan

Third Advisor

Sol Raboy

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.

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