# Download The Infinite-Dimensional Topology of Function Spaces, Volume 64 (North-Holland Mathematical Library) fb2

### by J. van Mill

**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**Votes:**752

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.