Real Analysis Exchange

Remarks about a transitive version of perfectly meager sets

Andrzej Nowik

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We show that if \(X\) has the property that every continuous image into Baire space is bounded and \(2^\omega\) is not a continuous image of \(X\), then \(X\) is always of first category in some additive sense. This gives an answer to an oral question of L. Bukovský, whether every wQN set has the latter property.

Article information

Real Anal. Exchange, Volume 22, Number 1 (1996), 406-412.

First available in Project Euclid: 1 June 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E05: Other combinatorial set theory 04A20 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.)

Hurewicz property wQN set sigma set hh property


Nowik, Andrzej. Remarks about a transitive version of perfectly meager sets. Real Anal. Exchange 22 (1996), no. 1, 406--412.

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