Characterization and topological rigidity of Nobeling manifolds
Abstract
Description
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.
a PhD thesis, xii + 102 pages; prepared for double-sided printing. A major update, done after receiving referees reviews. Please note that the theorem numbers were changed since the last version
a PhD thesis, xii + 102 pages; prepared for double-sided printing. A major update, done after receiving referees reviews. Please note that the theorem numbers were changed since the last version