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Characterization and topological rigidity of Nobeling manifolds

Andrzej Nagórko

math.GTarXiv:math/0602574

Abstract

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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