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Juhaszs solution of the Ponomarev
The Blumberg Problem
3 other sections not shown
Amer assume Axiom J-T Baire space Borel measure c.c.c. compact Hausdorff card(X cardinal number cellularity chain condition Chapter cl(V clearly closed subset co-meager compact Hausdorff space Continuum Hypothesis contradiction countable chain condition define definition denote dense and open dense open subsets dense subset density disjoint element finite subset follows Hence holds inductive hypothesis infinite cardinal isolated points Lebesgue measure Let G limit point Martin's Axiom Math metric space Moore space natural number neighborhood non-empty open nonempty open subsets normal Moore space open sets open subsets pairwise-disjoint partial order proof is complete proof of Lemma proof of Theorem real number relative topology result satisfies the c.c.c. sequence Set Theory Solovay Souslin lines strong limit point subspace Theorem 4.l Theorem A5 topological space uncountable subset upper half-plane V-invariant verify x-axis