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PDF Infinite-Dimensional Topology. Prerequisites and Introduction

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Arjen Sevenster Editor. The first part of this book is a text for graduate courses in topology.

References for Differential Geometry and 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 top The first part of this book is a text for graduate courses in topology. 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 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. In the process of proving this result several interesting and useful detours are made. Get A Copy.


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Hardcover , pages. Published December 15th by North-Holland first published December 1st More Details Other Editions 2. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Infinite-Dimensional Topology , please sign up. Be the first to ask a question about Infinite-Dimensional Topology.

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Infinite-dimensional Topology: Prerequisites and Introduction - J. van Mill - Google книги

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Asked 9 years, 1 month ago. Active 8 years, 8 months ago. Viewed 2k times. Wadim Zudilin Using the arguments of this excellent paper Albrecht Dold, A simple proof of the Jordan-Alexander complement theorem, Amer. Robin Chapman Robin Chapman Your question looks just as hard, and to me at least, it looks unlikely there's a naive proof. Ady Ady 2, 1 1 gold badge 18 18 silver badges 28 28 bronze badges. Robert Bell Robert Bell 1, 9 9 silver badges 12 12 bronze badges. For separable metric spaces, also Jan van Mill, "infinite-dimensional topology, prerequisites and an introduction", or the newer "the infinite-dimensional topology of function spaces", both of which have a chapter on this subject.

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Example of Infinite Dimensional Spaces in Linear Algebra and Geometry

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