On the concept of 𝑃𝑖₁¹-completeness

DOI10.1090/S0002-9939-97-03770-2zbMath0864.03034OpenAlexW1827192160MaRDI QIDQ4336658

Alexander S. Kechris

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03770-2

zbMATH Keywords

completenessco-analytic setsPolish spaceseffective descriptive set theorycontinuous reductionsBorel reductions

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (13)

Analytic sets of reals and the density function in the Cantor space ⋮ Universal and complete sets in martingale theory ⋮ Complexity of Ramsey null sets ⋮ The conjugacy problem in ergodic theory ⋮ The descriptive complexity of connectedness in Polish spaces ⋮ Descriptive properties related to porosity and density for compact sets on the real line ⋮ Polish metric spaces with fixed distance set ⋮ On the concept of analytic hardness ⋮ Descriptive set-theoretical properties of an abstract density operator ⋮ THE GAME OPERATOR ACTING ON WADGE CLASSES OF BOREL SETS ⋮ The Complexity of the Collection of Countable Linear Orders of the form I + I ⋮ On ⅁Γ-complete sets ⋮ ω-powers and descriptive set theory

Cites Work

• On the determinacy of games on ordinals
• Unnamed Item

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