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by J. van Mill

J._van_Mill Mathematics English
  • ISBN: 044450849X
  • Category: Math & Science
  • Author: J. van Mill
  • Subcategory: Mathematics
  • Other formats: txt docx mbr lrf
  • Language: English
  • Publisher: North Holland; Paperback reprint of hardcover 1st ed., 2001 edition (June 7, 2002)
  • Pages: 642 pages
  • FB2 size: 1974 kb
  • EPUB size: 1595 kb
  • Rating: 4.8
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In this book we study function spaces of low Borel complexity.

In this book we study function spaces of low Borel complexity. Techniques from general topology, topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly interesting. Among other things, a complete and self-contained proof of the Dob In this book we study function spaces of low Borel complexity. The Topology of Function Spaces (North-Holland Mathematical Library) (North-Holland Mathematical Library). 044450849X (ISBN13: 9780444508492). Among other things, a complete and self-contained proof of the wski-Mogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented

1 2 3 4 5. Want to Read. A linear space is a real vector space L carrying a (separable metrizable) topology with the property that the algebraic operations of addition and scalar multiplication are continuous (warning: a vector space is an algebraic structure which may or may not carry a topology while a linear space is automatically a topological space).

Автор: Van Mill Название: The Infinite Dimensional Topology Of. .

Автор: J. van Mill Название: Topology,43 ISBN: 0444871330 ISBN-13(EAN): 9780444871336 Издательство: Elsevier Science Рейтинг

In this book we study function spaces of low Borel complexity. Among other things, a complete and self-contained proof of the wski-Mogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented.

Publisher : North-Holland. Diplomatic Theory of International Relations (English). A Companion to the Philosophy of Action (English). Theatre of Roots : Redirecting the Modern Indian Stage (English).

The topology of function spaces. EK van Douwen, J van Mill. Proceedings of the American Mathematical Society, 539-541, 1978. An introduction to βω. J van Mill. Open problems in topology. Prerequisites and Introduction. Supercompactness and Wallman spaces. A note on the Effros Theorem. The American Mathematical Monthly 111 (9), 801-806, 2004.

Author: J. van Mill .

Theory of function spaces. Topology of Stratified Spaces.

The main reason I was interested in this book is one of the applications of chapter 8. My area of study is continuum theory and one of the most famous results is the Curtis-Schori-West Hyperspace theorem that states that the hyperspace of compacta of a continuum is homeomorphic to the Hilbert cube when the continuum is locally connected. However, this result uses techniques of infinite dimensional topology. That is the reason I wanted to read this book, to learn all the necessary background to the proof

North-Holland Mathematical Library Read 184 articles with impact on.This chapter discusses the first steps of categorical topology and defines categories and functors.

The chapter discusses a mathematical model of one such process, known as the 'probably approximately correct’ (or PAC) model.

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 re 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.

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