This mathematician names a type of equivalence relation on a Polish space and a reducibility between them that is used to compare classification problems. If the payoff set of a Gale–Stewart game has a property named for this mathematician, then there exists a winning strategy by a namesake determinacy. The collections “capital Sigma-sub-one-superscript-zero” (15[1])and “capital-Pi-sub-one-superscript-zero” appear in a construct named for this mathematician whose second level consists of all F-sigma and G-delta sets. (15[2])An object named for this mathematician (-5[1])is (*) generated by all intervals under complements and countable unions. This mathematician (10[1])names the sigma-algebra generated by (-5[1])open sets. (10[1])For 10 points, what French mathematician’s name appears second in a theorem equating (10[1])closed and bounded sets with compact (10[1])sets, which is co-named for (10[1])Eduard Heine? ■END■ (10[1])