Overview

Describing some interactions of topology with other areas of mathematics, this text assumes only a basic knowledge of the subject. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyper-spaces of compact metric zerodimensional spaces.

Full Product Details

Author:   Stevo Todorcevic
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1997 ed.
Volume:   1652
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.540kg
ISBN:  

9783540626114

ISBN 10:   3540626115
Pages:   160
Publication Date:   20 March 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Compact sets in function spaces.- The semigroup ??.- Compact and compactly generated groups.- Hyperspaces.

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