Walks on Ordinals and Their Characteristics

• Main Author: Todorcevic, Stevo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Progress in Mathematics ; 263
• Subjects: Mathematics.; Number theory.; Combinatorics.; Number Theory.

The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This is the first book-length exposition of this method. Particular emphasis is placed on applications which are presented in...

Table of Contents:

• Walks on Countable Ordinals
• Metric Theory of Countable Ordinals
• Coherent Mappings and Trees
• The Square-bracket Operation on Countable Ordinals
• General Walks and Their Characteristics
• Square Sequences
• The Oscillation Mapping and the Square-bracket Operation
• Unbounded Functions
• Higher Dimensions.