Walks on Ordinals and Their Characteristics

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 a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory, combinatorics, general topology, functional analysis, and general algebra. The intended audience for this book are graduate students and researchers working in these areas interested in mastering and applying these methods.

Table des matières

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.

Résumé

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 a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory, combinatorics, general topology, functional analysis, and general algebra. The intended audience for this book are graduate students and researchers working in these areas interested in mastering and applying these methods.

Détails du produit

• Auteurs: Stevo Todorcevic
• Edition: Springer Basel AG
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 01.01.2007
• EAN: 9783764385286
• ISBN: 978-3-7643-8528-6
• Pages: 324
• Dimensions: 164 mm x 241 mm x 24 mm
• Poids: 687 g
• Thèmes: Progress in Mathematics; (263) Progress in Mathematics; Progress in Mathematics
• Catégories: Livres pour enfants et adolescents > Livres pour la jeunesse dès 12 ans; Sciences naturelles, médecine, informatique, technique > Mathématiques > Autres; Zahlentheorie, B, Function, Mathematics, Combinatorics, Mapping, Random Walk, Theorem, Mathematics and Statistics, Discrete Mathematics, Number Theory, square sequence, countable ordinals, ordinal