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To attack certain problems in 4-dimensional knot theory the author draws on a variety of techniques, focusing on knots in S^T4, whose fundamental groups contain abelian normal subgroups. Their class contains the most geometrically appealing and best understood examples. Moreover, it is possible to apply work in algebraic methods to these problems. Work in four-dimensional topology is applied in later chapters to the problem of classifying 2-knots.
1. Knots and Related Manifolds; 2. The Knot Group; 3. Localization and Asphericity; 4. The Rank 1 Case; 5. The Rank 2 Case; 6. Ascending Series and the Large Rank Cases; 7. The Homotopy Type of M(K); 8. Applying Surgery to Determine the Knot.
Glenn R. Fulford, Philip Broadbridge, Canberra) Fulford, Glenn R. (University College, Australian Defence Force Academy, New South Wales) Broadbridge, Philip (University of Wollongong, Glenn Fulford, J. H. Loxton
Jonathan Borwein, Alf van der Poorten, Jeffrey Shallit, Wadim Zudilin, New South Wales) Borwein, Jonathan (Professor, University of Newcastle, Sydney) van der Poorten, Alf (Macquarie University, Ontario) Shallit, Jeffrey (University of Waterloo, New South Wales) Zudilin, Wadim (University of Newcastle, Alf Van Der Poorten, Alf van der Poorten
Glenn Fulford, Peter Forrester, Arthur Jones, Canberra) Fulford, Glenn (University College, Australian Defence Force Academy, Victoria) Forrester, Peter (La Trobe University, Victoria) Jones, Arthur (La Trobe University, Fulford
Glenn Fulford, Peter Forrester, Arthur Jones, Canberra) Fulford, Glenn (University College, Australian Defence Force Academy, Victoria) Forrester, Peter (La Trobe University, Victoria) Jones, Arthur (La Trobe University, Arthur Jones, Peter Forrester
Glenn R. Fulford, Philip Broadbridge, Canberra) Fulford, Glenn R. (University College, Australian Defence Force Academy, New South Wales) Broadbridge, Philip (University of Wollongong, Glenn Fulford, J. H. Loxton
Glenn Fulford, Peter Forrester, Arthur Jones, Canberra) Fulford, Glenn (University College, Australian Defence Force Academy, Victoria) Forrester, Peter (La Trobe University, Victoria) Jones, Arthur (La Trobe University, Arthur Jones, Peter Forrester