Consequences of Martin’s axiom

Title page
Acknowledgements
Introduction
1 The three cardinals
11 m, m_K and p
12 Boolean algebras and topological spaces
13 Other definitions of m
14 Other definitions of p
2 When p>ω₁
21 Combinatorics
22 Category and measure
23 Descriptive set theory
24 Sequential convergence
25 Normal spaces
26 βN and PN/[N]^{<ω}
3 When m_K > ω₁
31 Combinatorics
32 Measure theory 1
33 Measure theory II
34 Whitehead's problem
35 Ideals of Pω₁
4 When m > ω₁
41 Combinatorics I
42 S-respecting partial orders
43 Martin's axiom and separability
44 Hereditarily ccc spaces
Appendix A: Useful facts
A1 Notation
A2 Cardinals and ordinals
A3 Set theory: other topics
A4 General topology
A5 Descriptive set theory
A6 Measure theory
A7 Topological measure spaces
A8 Functional analysis
Appendix B: Consistency results
B1 Variants of Martin's axiom
B2 Set theory
B3 Topology
Bibliography
Index of special symbols and abbreviations
General index