On the Hauptvermutung.- Generalisations and Applications of Block Bundles.- Triangulating Homotopy Equivalences and Homeomorphisms. Geometric Topology Seminar Notes.- The Princeton Notes on the Hauptvermutung.- I. The Hauptvermutung According to Lashof and Rothenberg.- II. The Hauptvermutung according to Casson and Sullivan.- III. The Hauptvermutung according to Casson and Sullivan.- Coda: Connection with the results of Kirby and Siebenmann.

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` ... long awaited account of a major achievement of modern mathematics. ... highly recommended for all topologists and for those who are interested in the developments of major topological tools.'
Acta Scientificae Mathematicae, 63 (1997)

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