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2000/2001 On I-Asymmetry
Mariusz Strześniewski
Real Anal. Exchange 26(2): 593-602 (2000/2001).


Sets of approximative asymmetry in the sense of category are introduced. The following theorem is proved. If $f : \mathbb{R}\to \mathbb{R}$ is a function, then the set of $\mathcal{I}$-asymmetry points of $f$ is of the type $F_{\sigma \delta \sigma}$ and is $\sigma$-well-porous. This illustrates the difference between measure and category. We give an example of a function with the set of $\mathcal{I}-$asymmetry points of the cardinality of the continuum.


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Mariusz Strześniewski. "On I-Asymmetry." Real Anal. Exchange 26 (2) 593 - 602, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 27 June 2008

zbMATH: 1031.26005
MathSciNet: MR1844138

Primary: 26A03 , 26E99

Keywords: $\cal I$-density , asymmetry set , cluster set , porosity

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 2 • 2000/2001
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