Appendix to Volume 4
Cardinals; closed cofinal sets and stationary sets; Δ-system lemma; free sets; Ramsey's theorem; the Marriage Lemma again; filters; normal ultrafilters; Ostaszewski's ♣; the size of σ-algebras.
Glossary; general constructions; Fσ, Gδ, zero and cozero sets; weight; countable chain condition; separation axioms; compact and locally compact spaces; Lindelöf spaces; Stone-Cech compactifications; uniform spaces; first-countable, sequential, countably tight, metrizable spaces; countable networks; second-countable spaces; separable metrizable spaces; Polish spaces; order topologies; Vietoris and Fell topologies.
Borel σ-algebras; measurable functions; hereditarily Lindelöf spaces; second-countable spaces; Polish spaces; ω1; Baire σ-algebras; product spaces; compact spaces; spaces of càdlàg functions; Baire-property algebras; cylindrical σ-algebras.
Locally convex spaces
Linear topological spaces; locally convex spaces; Hahn-Banach theorem; normed spaces; inner product spaces; max-flow min-cut theorem.
Group actions; topological groups; uniformities; quotient groups; metrizable groups.
Stone-Weierstrass theorem (fourth form); multiplicative linear functionals; spectral radius; invertible elements; exponentiation; Arens multiplication.
`Later editions only'
Items recently interpolated into other volumes.
ro-PDF (results-only version).
Return to contents page.