Characterization and topological rigidity of Nobeling manifolds

Details Characterization and topological rigidity of Nobeling manifolds Characterization and topological rigidity of Nobeling manifolds

2006-02-27

arxiv.org/abs/math/0602574v3

Mathematics

Geometric Topology

a PhD thesis, xii + 102 pages; prepared for double-sided printing. A major update, done after receiving referees reviews. Plea

Scientific paper

We develop a theory of Nobeling manifolds similar to the theory of Hilbert
space manifolds. We show that it reflects the theory of Menger manifolds
developed by M. Bestvina and is its counterpart in the realm of complete
spaces. In particular, the Nobeling manifold characterization conjecture is
proven.

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