Verwandte Artikel zu INFINITE DIMENSIONAL TOPOLOGY: NHML43 PREREQUISITES...
INFINITE DIMENSIONAL TOPOLOGY: NHML43 PREREQUISITES AND INTRODUCTION: Volume 43 (North-Holland Mathematical Library, Volume 43) - Hardcover
Zu dieser ISBN ist aktuell kein Angebot verfügbar.
Inhaltsangabe
The first part of this book is a text for graduate courses in topology. In chapters 1 - 5, part of the basic material of plane topology, combinatorial topology, dimension theory and ANR theory is presented. For a student who will go on in geometric or algebraic topology this material is a prerequisite for later work. Chapter 6 is an introduction to infinite-dimensional topology; it uses for the most part geometric methods, and gets to spectacular results fairly quickly. The second part of this book, chapters 7 & 8, is part of geometric topology and is meant for the more advanced mathematician interested in manifolds. The text is self-contained for readers with a modest knowledge of general topology and linear algebra; the necessary background material is collected in chapter 1, or developed as needed.One can look upon this book as a complete and self-contained proof of Toruńczyk's Hilbert cube manifold characterization theorem: a compact ANR X is a manifold modeled on the Hilbert cube if and only if X satisfies the disjoint-cells property. In the process of proving this result several interesting and useful detours are made.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Críticas
...recommended to anyone who wishes to get familiar with infinite-dimensional topology and at the same time learn about some its most beautiful results.
Zentralblatt für Mathematik
Reseña del editor
The first part of this book is a text for graduate courses in topology. In chapters 1 - 5, part of the basic material of plane topology, combinatorial topology, dimension theory and ANR theory is presented. For a student who will go on in geometric or algebraic topology this material is a prerequisite for later work. Chapter 6 is an introduction to infinite-dimensional topology; it uses for the most part geometric methods, and gets to spectacular results fairly quickly. The second part of this book, chapters 7 & 8, is part of geometric topology and is meant for the more advanced mathematician interested in manifolds.
The text is self-contained for readers with a modest knowledge of general topology and linear algebra; the necessary background material is collected in chapter 1, or developed as needed.
One can look upon this book as a complete and self-contained proof of Toruńczyk's Hilbert cube manifold characterization theorem: a compact ANR X is a manifold modeled on the Hilbert cube if and only if X satisfies the disjoint-cells property. In the process of proving this result several interesting and useful detours are made.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
(Keine Angebote verfügbar)
Buch Finden: Kaufgesuch aufgebenSie finden Ihr gewünschtes Buch nicht? Wir suchen weiter für Sie. Sobald einer unserer Buchverkäufer das Buch bei AbeBooks anbietet, werden wir Sie informieren!
Kaufgesuch aufgeben
