UID:
almahu_9947368113502882
Format:
1 online resource (221 p.)
ISBN:
1-283-52570-4
,
9786613838155
,
0-08-095499-5
Series Statement:
Studies in logic and the foundations of mathematics ; v. 91
Content:
Provability, Computability and Reflection
Note:
Description based upon print version of record.
,
Front Cover; Combinatorial Set Theory; Copyright Page; Preface; Contents; Foreword on notation; Chapter 1. Almost disjoint families of sets; 1. Almost disjoint families; 2. Almost disjoint functions; 3. Transversals of non-disjoint families; Chapter 2. Ordinary partition relations; 1. The relations defined; 2. The Ramification Lemma; 3. The Stepping-up Lemma; 4. Results for singular cardinals; 5. The case n = 2; 6. Results when n 〉 3; 7. Square bracket relations; 8. Partitions of all the finite subsets; Chapter 3. Set mappings; 1. Set mappings of small order; 2. Set mappings of large order
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3. Set mappings of higher typeChapter 4. Polarized partition relations; 1. Partitions of K X K; 2. Partitions of K X K+; 3. Larger polarized relations; Chapter 5. Theory of infinite graphs; 1. The chromatic number; 2. A colouring problem; 3. Chromatic number of subgraphs; Chapter 6. Decomposition and intersection properties of families of sets; 1. Decomposition properties; 2. Delta-systems; 3. Weak delta-systems; Chapter 7. Ordinary partition relations for ordinal numbers; 1. Introductory remarks; 2. Countable ordinals; 3. Chang's Theorem for ω ω; 4. Partitions of [ω1] 2
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Appendix. Cardinal and ordinal numbers 1. Set Theory; 2. Ordinal numbers; 3. Cardinal arithmetic; References; Index of authors; Index of definitions; Index of notation
,
English
Additional Edition:
ISBN 0-7204-0722-2
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books
URL:
Volltext
(Deutschlandweit zugänglich)
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