Characterization and topological rigidity of Nöbeling manifolds
著者
書誌事項
Characterization and topological rigidity of Nöbeling manifolds
（Memoirs of the American Mathematical Society, no. 1048）
American Mathematical Society, c2012
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注記
"May 2013 , volume 223, number 1048 (second of 5 numbers)"
Includes bibliographical references (p. 89-90) and index
内容説明・目次
内容説明
The author develops a theory of Noebeling 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 Noebeling manifold characterisation conjecture.
目次
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
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