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https://hdl.handle.net/2142/86992
Description
Title
The Complements of 2-Complexes in the 4-Ball
Author(s)
Bedenikovic, Anthony Joseph
Issue Date
2000
Doctoral Committee Chair(s)
Craggs, Robert F.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
We later apply gccc's to the study of the Property P Conjecture. We show that every 3-manifold obtained by surgery on a knot in S 3 has a spine which is a gccc. Let M denote the surgery manifold and let X denote the gccc spine. We define the dual, X*, of X and show that if M is a homotopy 3-sphere, then X* 3-deforms to a point.
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