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Several lines of development will be discussed. For this I shall use the records of the thirty Bonn meetings (Arbeitstagungen) I organized from 1957 to 1991. The topics include
Manifolds: cobordism theory, exotic spheres, ...
Topological methods in algebraic geometry and global analysis.
K-theory and solutions to classical topological problems.
Two highlights in number theory.
I shall try to present this in a form suitable for a rather general audience.
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