Controlled surgery with trivial local fundamental groups

Details Controlled surgery with trivial local fundamental groups Controlled surgery with trivial local fundamental groups

2001-11-27

arxiv.org/abs/math/0111269v1

Proceedings 2001 ICTP Trieste School on High-dimensional Manifold Topology, World Scientific, 421--426 (2003)

Mathematics

Geometric Topology

5 pages

Scientific paper

We provide a proof of the controlled surgery sequence, including stability,
in the special case that the local fundamental groups are trivial. Stability is
a key ingredient in the construction of exotic homology manifolds by Bryant,
Ferry, Mio and Weinberger, but no proof has been available. The development
given here is based on work of M. Yamasaki.

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