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 Title: The Complements of 2-Complexes in the 4-Ball Author(s): Bedenikovic, Anthony Joseph Doctoral Committee Chair(s): Craggs, Robert F. Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics 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. Issue Date: 2000 Type: Text Language: English Description: 49 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000. URI: http://hdl.handle.net/2142/86992 Other Identifier(s): (MiAaPQ)AAI9971027 Date Available in IDEALS: 2015-09-28 Date Deposited: 2000
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