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1996/1997 Remarks about a transitive version of perfectly meager sets
Andrzej Nowik
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Real Anal. Exchange 22(1): 406-412 (1996/1997).


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.


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Andrzej Nowik. "Remarks about a transitive version of perfectly meager sets." Real Anal. Exchange 22 (1) 406 - 412, 1996/1997.


Published: 1996/1997
First available in Project Euclid: 1 June 2012

zbMATH: 0879.03014
MathSciNet: MR1433627

Primary: 03E05 , 04A20 , 54D20

Keywords: hh property , Hurewicz property , sigma set , wQN set

Rights: Copyright © 1996 Michigan State University Press

Vol.22 • No. 1 • 1996/1997
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