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Stevo Todorcevic
Topics in Topology [PDF ebook]

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Cover of Stevo Todorcevic: Topics in Topology (PDF)

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.

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Language English ● Format PDF ● ISBN 9783540683384 ● Publisher Springer Berlin Heidelberg ● Published 2006 ● Downloadable 3 times ● Currency EUR ● ID 6319643 ● Copy protection Adobe DRM

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