Contents of Measure Theory, by D.H.Fremlin

Appendix to Volume 5

5A1 Set theory
Ordinal and cardinal arithmetic; trees; cofinalities; Δ-systems and free sets; partition calculus; transversals.

5A2 Pcf theory
Reduced products of partially ordered sets; cofinalities of reduced products; covSh(α,β,γ,δ); Q(α,γ).

5A3 Forcing
Forcing notions; forcing languages; the forcing relation; the forcing theorem; Boolean truth values; names for functions; regular open algebras; discriminating names; L0 and names for real numbers; forcing with Boolean algebras; ordinals and cardinals; iterated forcing; Martin's axiom; countably closed forcings.

5A4 General topology
Cardinal functions; compactness; Vietoris topologies; category and the Baire property; normal and paracompact spaces.

5A5 Real analysis
Real-entire functions.

5A6 Special axioms
GCH, V=L, 0# and Jensen's Covering Lemma, square principles, Chang's transfer principle, Todorcevic's p-ideal dichotomy, the filter dichotomy.

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Revised 13.2.2017