×

On the splitting number and Mazurkiewicz’s theorem. (English) Zbl 0999.03043

Summary: We give a new proof of Mazurkiewicz’s theorem about bounded sequences of Borel functions. In this proof we use Shoenfield’s absoluteness theorem for \(\Sigma^1_2\)-sentences and one characterization of some class of sequentially compact topological spaces which involves the splitting number.

MSC:

03E15 Descriptive set theory
03E35 Consistency and independence results
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
PDF BibTeX XML Cite
Full Text: EuDML