Zdeněk Frolík and the descriptive theory of sets and spaces
Petr Holický (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Borel sets with -section”
Zdeněk Frolík and the descriptive theory of sets and spaces
A reflection phenomenon in descriptive set theory
John Burgess (1979)
Fundamenta Mathematicae
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Domination by Borel stopping times and some separation properties
Ashok Maitra, Victor Pestien, S. Ramakrishnan (1990)
Fundamenta Mathematicae
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On bianalytic spaces
Zdeněk Frolík (1963)
Czechoslovak Mathematical Journal
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Complexity of the class of Peano functions
K. Omiljanowski, S. Solecki, J. Zielinski (2000)
Colloquium Mathematicae
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We evaluate the descriptive set theoretic complexity of the space of continuous surjections from to .
On the descriptive sot theory of the lexicographic square
A. Ostaszewski (1975)
Fundamenta Mathematicae
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Generalized analytic spaces, completeness and fragmentability
Petr Holický (2001)
Czechoslovak Mathematical Journal
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Classical analytic spaces can be characterized as projections of Polish spaces. We prove analogous results for three classes of generalized analytic spaces that were introduced by Z. Frolík, D. Fremlin and R. Hansell. We use the technique of complete sequences of covers. We explain also some relations of analyticity to certain fragmentability properties of topological spaces endowed with an additional metric.
Stable families of analytic sets
Pandelis Dodos (2003)
Colloquium Mathematicae
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We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.