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University of Illinois at Urbana-Champaign

The Complements of 2-Complexes in the 4-Ball

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Bedenikovic, Anthony Joseph
Contributors dc:contributor
  • Craggs, Robert F.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI9971027
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86992

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Bedenikovic, Anthony Joseph. The Complements of 2-Complexes in the 4-Ball. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86992