Bulletin of Symbolic Logic

Descriptive set theory of families of small sets

Étienne Matheron and Miroslav Zelený

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This is a survey paper on the descriptive set theory of hereditary families of closed sets in Polish spaces. Most of the paper is devoted to ideals and σ-ideals of closed or compact sets.

Article information

Bull. Symbolic Logic, Volume 13, Issue 4 (2007), 482-537.

First available in Project Euclid: 18 February 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E15: Descriptive set theory [See also 28A05, 54H05] 28A05: Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05] 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) [See also 03E15, 26A21, 28A05]

ideals and σ-ideals of compact sets descriptive set theory


Matheron, Étienne; Zelený, Miroslav. Descriptive set theory of families of small sets. Bull. Symbolic Logic 13 (2007), no. 4, 482--537. doi:10.2178/bsl/1203350880. https://projecteuclid.org/euclid.bsl/1203350880

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