ENGLISH

Topics in Topology 1997

By Stevo Todorcevic

Book information

Publisher
Springer, Berlin, Heidelberg
Year
1997
ISBN
978-3-540-62611-4; 978-3-540-68338-4
Language
english
Format
PDF
Filesize
6 MB (6269376 bytes)
Pages
160\160
Time added
2019-04-26 07:43:13
Topology

Description

The book describes some interactions of topology with other areas of mathematics and it requires only basic background. 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 hyperspaces of compact metric zerodimensional spaces. Front Matter......Page 1 Preface......Page 5 Contents......Page 7 chapter 1 Compact sets in function spaces......Page 9 chapter 2 The semigroup 61-78......Page 69 chapter 3 Compact and compactly generated groups 79-120......Page 87 chapter 4 Hyperspaces 121-147......Page 129 Index......Page 156

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