A Cp-Theory Problem Book: Topological and Function Spaces - Brossura

Tkachuk, Vladimir V.

Brossura

ISBN 10: 1441974431 ISBN 13: 9781441974433

Casa editrice: Springer, 2011

Riassunto

Detailed summary of exercise sections Preface Introduction 1.1. Basic notions of topology and function spaces 1.1.1. Topologies, axioms of separation and a glance at Cp(X) 1.1.2. Products, cardinal functions and convergence 1.1.3. Metrizability and completeness 1.1.4. Compactness type properties in function spaces 1.1.5. More on completeness. Realcompact spaces Bibliographic notes 1.2. Solutions of problems 1.001-1.500 1.3. Bonus results: some hidden statements 1.3.1. Standard spaces 1.3.2. Metrizable spaces and compact spaces 1.3.3. Properties of continuous maps 1.3.4. Covering properties, normality and open families 1.3.5. Product spaces and cardinal invariants 1.3.6. Raznoie (unclassified results) 1.4. Open problems 1.4.1. Local properties 1.4.2. Discreteness of X and completeness of Cp(X) 1.4.3. Dense subspaces 1.4.4. The Lindelöf property in X and Cp(X) 1.4.5. Other covering properties 1.4.6. Mappings which involve Cp-spaces 1.4.7. Very general questions 1.4.8. Fuzzy questions 1.4.9. Naïve questions 1.4.10. Raznoie (unclassified questions) 1.5. Bibliography 1.6. List of special symbols 1.7. Index

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2011
• ISBN 10: 1441974431
• ISBN 13: 9781441974433
• Rilegatura: Paperback
• Lingua: Inglese
• Numero di pagine: 504
• Contatto del produttore: non disponibile