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DECOMPOSING FUNCTIONS OF BAIRE CLASS $2$ ON POLISH SPACES

Published online by Cambridge University Press:  26 October 2020

LONGYUN DING
Affiliation:
SCHOOL OF MATHEMATICAL SCIENCES AND LPMC NANKAI UNIVERSITYTIANJIN, 300071, P.R. CHINAE-mail: dingly@nankai.edu.cnE-mail: 294465868@qq.com
TAKAYUKI KIHARA
Affiliation:
GRADUATE SCHOOL OF INFORMATICS NAGOYA UNIVERSITYNAGOYA, 464-8601, JAPANE-mail: kihara@i.nagoya-u.ac.jp
BRIAN SEMMES
Affiliation:
STUDYLAB LANGUAGE SCHOOL MOSCOW, NIKOLSKAYA ST. 10, NIKOLSKAYA PLAZA OFFICE CENTRE RUSSIAN FEDERATIONE-mail: brian@studylab.ru

Abstract

We prove the Decomposability Conjecture for functions of Baire class $2$ from a Polish space to a separable metrizable space. This partially answers an important open problem in descriptive set theory.

Type
Articles
Copyright
© The Association for Symbolic Logic 2020

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References

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