Download The Infinite-Dimensional Topology of Function Spaces Book Pages

The Infinite-Dimensional Topology of Function Spaces ebook

The Infinite-Dimensional Topology of Function Spaces Ebook

By J. van Mill

Language: English

Publish Year : 2001

Info:

E-Book readable online or download on PDF DJVU TXT DOC MP3 CFM mobi and more formats for PC PDA MAC IPAD IPHONE Nook Kindle Android Tablets mobile phone and more devices. You can find AUDIO Books in mp3 formats

E-Book review:

In this book we study function spaces of low Borel complexity.Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theoryare primarily used for the study of these spaces. The mix ofmethods from several disciplines makes the subjectparticularly interesting. Among other things, a complete and self-contained proof of the Dobrowolski-Marciszewski-Mogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented. In order to understand what is going on, a solid background ininfinite-dimensional topology is needed. And for that a fair amount of knowledge of dimension theory as well as ANR theory is needed. The necessary material was partially covered in our previous book `Infinite-dimensional topology, prerequisites and introduction’. A selection of what was done there can be found here as well, but completely revised and at many places expanded with recent results. A `scenic’ route has been chosen towards theDobrowolski-Marciszewski-Mogilski Theorem, linking theresults needed for its proof to interesting recent research developments in dimension theory and infinite-dimensional topology. The first five chapters of this book are intended as a text forgraduate courses in topology. For a course in dimension theory, Chapters 2 and 3 and part of Chapter 1 should be covered. For a course in infinite-dimensional topology, Chapters 1, 4 and 5. In Chapter 6, which deals with function spaces, recent research results are discussed. It could also be used for a graduate course in topology but its flavor is more that of a research monograph than of a textbook; it is thereforemore suitable as a text for a research seminar. The bookconsequently has the character of both textbook and a research monograph. In Chapters 1 through 5, unless statedotherwise, all spaces under discussion are separable andmetrizable. In Chapter 6 results for more general classes of spaces are presented. In Appendix A for easy reference and some basic facts that are important in the book have been collected. The book is not intended as a basis for a course in topology; its purpose is to collect knowledge about general topology. The exercises in the book serve three purposes: 1) to test the reader’s understanding of the material 2) to supply proofs of statements that are used in the text, but are not proven there3) to provide additional information not covered by the text.Solutions to selected exercises have been included in Appendix B.These exercises are important or difficult.

Click here to Download The Infinite-Dimensional Topology of Function Spaces Ebook now

Look at This:

Confocal Microscopy Methods and Protocols by Stephen W. Paddock
Education, Literacy, and Humanization: Exploring the Work of Paulo Freire (Critical Studies in Education and Culture Series) by Peter Roberts
Preventing Identity Theft For Dummies by Michael J., Arata

Tags (search words) :
The Infinite-Dimensional Topology of Function Spaces ebook pdf djvu epub
The Infinite-Dimensional Topology of Function Spaces download pdf epub djvu
The Infinite-Dimensional Topology of Function Spaces download pdf rapidshare mediafire fileserve, 4shared torrent
The Infinite-Dimensional Topology of Function Spaces free kindle nook
download The Infinite-Dimensional Topology of Function Spaces ebook textbook
download engineering ebook
download The Infinite-Dimensional Topology of Function Spaces ebook software
ebook The Infinite-Dimensional Topology of Function Spaces online
buy ebook The Infinite-Dimensional Topology of Function Spaces
ebook viewer epub
ebook The Infinite-Dimensional Topology of Function Spaces library free
The Infinite-Dimensional Topology of Function Spaces ebook for free
The Infinite-Dimensional Topology of Function Spaces ebook for mobile
free The Infinite-Dimensional Topology of Function Spaces book
acrobat The Infinite-Dimensional Topology of Function Spaces ebook
pdf formats e-book