Appendix to Volume 2

2A1
Set theory

Ordered sets; transfinite recursion; ordinals; initial ordinals;
Schröder-Bernstein theorem; filters; Axiom of Choice;
Zermelo's Well-Ordering Theorem; Zorn's Lemma; ultrafilters; a
theorem in combinatorics.

2A2
The topology of Euclidean space

Closures; continuous functions; compact sets; open sets in
**R**.

2A3
General topology

Topologies; continuous functions; subspace topologies; closures and
interiors; Hausdorff topologies; pseudometrics; convergence of
sequences; compact spaces; cluster points of sequences; convergence
of filters; lim sup and lim inf; product topologies; dense subsets.

2A4
Normed spaces

Normed spaces; linear subspaces; Banach spaces; bounded linear
operators; dual spaces; extending a linear operator from a dense
subspace; normed algebras.

2A5
Linear topological spaces

Linear topological spaces; topologies defined by functionals; convex
sets; completeness; weak topologies.

2A6
Factorization of matrices

Determinants; orthonormal families; *T*=*PDQ* where *D* is diagonal
and *P*, *Q* are orthogonal.

TeX,
PDF,
ro-PDF (results-only version).

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Revised 5.8.15