Read Infinite-Dimensional Topology: Prerequisites and Introduction

Infinite-Dimensional Topology: Prerequisites and Introduction

J. van Mill

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Description: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 Toru&nacute;czyk'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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Infinite-Dimensional Topology: Prerequisites and Introduction. To get started finding Infinite-Dimensional Topology: Prerequisites and Introduction, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0080933688

Description: 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 Toru&nacute;czyk'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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Infinite-Dimensional Topology: Prerequisites and Introduction. To get started finding Infinite-Dimensional Topology: Prerequisites and Introduction, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Infinite-Dimensional Topology: Prerequisites and Introduction

Infinite-Dimensional Topology: Prerequisites and Introduction

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