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Walks on Ordinals and Their Characteristics

Walks on Ordinals and Their Characteristics

Hardcover

Series: Progress in Mathematics, Book 263

General Mathematics

ISBN10: 3764385286
ISBN13: 9783764385286
Publisher: Birkhauser
Published: Sep 17 2007
Pages: 324
Weight: 1.51
Height: 0.89 Width: 6.53 Depth: 9.28
Language: English

The walks on ordinals and analysis of their characteristics is a subject matter started by the author some twenty years ago in order to disprove a particular extension of the Ramsey theorem. A further analysis has shown however that the resulting method is quite useful in detecting critical mathematical objects in contexts where only rough classifications are possible. Recently the method has led us to solutions to some other problems in a variety of disciplines such as for example a natural extension of the unconditional basic sequence problem from the Banach space theory or the famous L-space problem from topology. The book gives a careful and comprehensive account of the method and gathers many of these applications in a unified and comprehensive manner. It is the only full exposition of the method since its invention in the early 1980s.

Also from

Todorcevic, Stevo

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General Mathematics