Chapter 42: Descriptive set theory

421
Souslin's operation

Souslin's operation; is idempotent; as a projection operator;
Souslin-F sets; *constituents.

422
K-analytic spaces

Usco-compact relations; K-analytic sets; and Souslin-F sets; First
Separation Theorem; *constituents of co-K-analytic sets.

423
Analytic spaces

Analytic spaces; are K-analytic spaces with countable networks;
Souslin-F sets; Borel measurable functions; injective images of
Polish spaces; countably generated σ-algebras of Borel sets;
non-Borel analytic sets; a von Neumann-Jankow selection theorem;
*constituents of coanalytic sets.

424
Standard Borel spaces

Basic properties; isomorphism types; subspaces; Borel measurable
actions of Polish groups.

*425
Realization of automorphisms

Extending group actions; Törnquist's theorem.

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Revised 30.11.2016