Inscribing compact non-σ-porous sets into analytic non-σ-porous sets

Fundamenta Mathematicae

Volumn 185, Issue 1, 2005, Pages 19-39

  Zelený, Miroslav ^a,b   Zajíček, Luděk ^a,b  

^a KMA ^*

^b CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17544377903     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm185-1-2     Document Type: Article

References (14)

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6. 2] _, Porosity and σ-porosity, Real Anal. Exchange 13 (1987-88), 314-350.
7. 3] _, Products of non-σ-porous sets and Foran systems, Atti Sem. Mat. Fis. Univ. Modena 44 (1996), 497-505.
8. 4] _, Smallness of sets of nondifferentiability of convex functions in nonseparable Banach spaces, Czechoslovak Math. J. 41 (1991), 288-296.
9. 5] _, On σ-porous sets in abstract spaces (a partial survey), Abstract Appl. Anal., to appear; http://www.karlin.mff.cuni.cz/kma- preprints/.
10. 6] _, Ordinary derivatives via symmetric derivatives and a Lipschitz condition via a symmetric Lipschitz condition, Real Anal. Exchange 23 (1997/98), 653-669.
11. 1] L. Zajíček and M. Zelený, On the complexity of some σ-ideals of σ-P-porous sets, Comment. Math. Univ. Carolin. 44 (2003), 531-554.
12. [ZZ2] _, _, Inscribing closed non-σ-lower porous sets into Suslin non-a-lower porous sets, Abstract Appl. Anal., to appear; http://www.karlin.mff. cuni.cz/kma-preprints/.
13. [Ze] M. Zelený, Inscribing non-σ-porous compact sets, unpublished (in Czech).
14. [ZP] M. Zelený and J. Pelant, The structure of the σ-ideal of σ-porous sets, Comment. Math. Univ. Carolin. 45 (2004), 37-72.