Topics in topology

著者

• Todorcevic, Stevo

書誌事項

Topics in topology

Stevo Todorcevic

（Lecture notes in mathematics, 1652）

Springer, c1997

注記

Includes bibliographical references, index, and index of special symbols

内容説明・目次

内容説明

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.

目次

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

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詳細情報

• NII書誌ID(NCID): BA30142256
• ISBN:
  • 3540626115
• LCCN: 97007252
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin ; Heiderberg
• ページ数/冊数: viii, 153 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA3
  • LCC : QA611
  • DC21 : 510 s
  • DC21 : 514
  • NDC8 : 410.8
  • NDC8 : 415.7
• 件名:
  • LCSH : Topology
• 親書誌ID:
  • BA00146586