{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86992"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86992","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The Complements of 2-Complexes in the 4-Ball","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.","abstract_html":"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. 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