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Two-Dimensional Homotopy and Combinatorial Group Theory


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Table of Contents

1. Geometric aspects of two-dimensional complexes C. Hog-Angeloni and W. Metzler; 2. Algebraic topology for two-dimensional complexes A. J. Sieradski; 3. Homotopy and homology classification of 2-complexes M. P. Latiolais; 4. Crossed modules and P2 homotopy modules M. Dyer; 5. Calculating generators of P2 W. Bogley and S. J. pride; 6. Applications of diagrams to decision processes G. Huck and S. Rosebrock; 7. Fox ideals, N-torsion and applications to groups and 3-manifolds M. Lustig; 8. (Singular) 3-manifolds C. Hog-Angeloni and A. Sieradski; 9. Cancellation results for 2-complexes and 4-manifolds and some applications I. Hambleton and M. Kreck; 10. J. H. C. Whitehead's asphericity question W. Bogley; 11. Zeeman's collapsing conjecture S. Matveev and D. Rolfsen; 12. The Andrews-Curtis conjecture and its generalizations C. Hog-Angeloni and W. Metzler.

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This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.

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