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商品詳細
Computable Structure Theory: A Unified Approach.
・ISBN 978-3-031-92432-3 hard EUR 129.99
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| 著者・編者 | Downey, Rodney G. / Melnikov, Alexander, |
|---|---|
| シリーズ | (Theory and Applications of Computability) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2025 |
| ページ数 | 540 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A04-7507＞ |
解説
This is the first book which gives a unified theory for countable and uncountable computable structures.
The work treats computable linear orderings, graphs, groups and Boolean algebras unified with computable metric and Banach spaces, profinite groups, and the like. Further, it provides the first account of these that exploits effective versions of dualities, such as Stone and Pontryagin dualities. The themes are effective classification and enumeration.
Topics and features:
? Delivers a self-contained, gentle introduction to priority arguments, directly applying them in algebraic contexts
? Includes extensive exercises that both cement and amplify the materials
? Provides complete introduction to the basics of computable analysis, particularly in the context of computable structures
? Offers the first monograph treatment of computable Polish groups, effective profinite groups via Stone duality, and effective abelian groups via Pontryagin duality
? Presents the first book treatment of Friedberg enumerations of structures
This unique volume is aimed at graduate students and researchers in computability theory, as well as mathematicians seeking to understand the algorithmic content of structure theory. Being self-contained, it provides ample opportunity for self-study.