CONTENTS Introduction................................ 5 1. Preliminaries.......................... 5 2. When is the symmetric product a manifold?.............. 12 3. When is the cyclic product a manifold?............................................................................................. 17 4. When is the permutation product a manifold? The characterization problem........................... 22 5. Permutation products of the punctured cell and two-dimensional half-space.......................... 28 6. Permutation products of the annulus................................................................................................ 34 7. The second permutation product of the torus.................................................................................. 41 8. Summary of known characterizations................................................................................................ 46 References and bibliography.................................................................................................................. 47
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