Memoirs of the American Mathematical Society 2013; 92 pp; softcover Volume: 223 ISBN10: 082185366X ISBN13: 9780821853665 List Price: US$69 Individual Members: US$41.40 Institutional Members: US$55.20 Order Code: MEMO/223/1048
 The author develops a theory of Nöbeling manifolds similar to the theory of Hilbert space manifolds. He shows 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 author proves the Nöbeling manifold characterization conjecture. Table of Contents Introduction and preliminaries  Introduction
 Preliminaries
Reducing the proof of the main results to the construction of \(n\)regular and \(n\)semiregular \(\mathcal{N}_n\)covers  Approximation within an \(\mathcal{N}_n\)cover
 Constructing closed \(\mathcal{N}_{n}\)covers
 Carrier and nerve theorems
 Anticanonical maps and semiregularity
 Extending homeomorphisms by the use of a "brick partitionings" technique
 Proof of the main results
Constructing \(n\)semiregular and \(n\)regular \(\mathcal{N}_n\)covers  Basic constructions in \(\mathcal{N}_{n}\)spaces
 Core of a cover
 Proof of Theorem 6.7
 Bibliography
 Index
