Title: Ordinal solution of open games and analytic sets

Author(s): Ashok Prasad Maitra
Issue: Volume 72 Series A Part 1 Year 2010
Pages: 19 -- 36
We use the ordinal solution of open games to define constituents of analytic and coanalytic sets. Various properties of theses constituents are established and it is shown that they behave just as regularly as the classical constituents of Luzin and Sierpinski.
AMS (MOS) subject classification(1970). Primary 02K30, 04A15; Secondary28A05.
Keywords and phrases: Analytic set, coanalytic set, constituents, prewell-ordering, open games.