Characterization and the Topological Rigidity of Nöbeling Manifolds

Andrzej Nagorko (Autor)

Buch | Softcover

92 Seiten

2013
American Mathematical Society (Verlag)
978-0-8218-5366-5 (ISBN)

Infos

Develops a theory of Nobeling manifolds similar to the theory of Hilbert space manifolds. It 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 Nobeling manifold characterization conjecture.

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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 characterisation conjecture.

Autor

Andrzej Nagorko, University of Warsaw, Poland.

Inhalt

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

Produkt-Details

• Reihe/Serie: Memoirs of the American Mathematical Society
• Verlagsort: Providence
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 0-8218-5366-X / 082185366X
• ISBN-13: 978-0-8218-5366-5 / 9780821853665
• Zustand: Neuware