A Cp-Theory Problem Book: Special Features of Function Spaces (Problem Books in Mathematics)

Preface
Contents
Detailed Summary of Exercises
Introduction
1 Duality Theorems and Properties of Function Spaces
	1.1 Some Additional Axioms and Hereditary Properties
	1.2 Monolithity, Stability and Their Generalizations
	1.3 Whyburn Spaces, Calibers and Lindelöf Σ-Property
	1.4 A Glimpse of Descriptive Set Theory
	1.5 Additivity of Properties: Mappings Between Function Spaces
	1.6 Bibliographic Notes
2 Solutions of Problems 001–500
3 Bonus Results: Some Hidden Statements
	3.1 Standard Spaces
	3.2 Metrizable Spaces
	3.3 Compact Spaces and Their Generalizations
	3.4 Properties of Continuous Maps
	3.5 Completeness and Convergence Properties
	3.6 Product Spaces
	3.7 Cardinal Invariants and Set Theory
	3.8 Raznoie (Unclassified Results)
4 Open Problems
	4.1 Analyticity and Similar Properties
	4.2 Whyburn Property in Function Spaces
	4.3 Uniformly Dense Subspaces
	4.4 Countable Spread and Similar Properties
	4.5 Metacompactness and Its Derivatives
	4.6 Mappings Which Involve Cp-Spaces
	4.7 Additivity of Topological Properties
	4.8 Raznoie (Unclassified Questions)
Bibliography
List of special symbols
Index