Partitions of pairs of reals
Alan Taylor (1978)
Fundamenta Mathematicae
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Displaying similar documents to “The Ramsey sets and related sigma algebras and ideals”
Partitions of pairs of reals
Marczewski sets in the Hashimoto topologies for measure and category
Marek Balcerzak, Joanna Rzepecka (1998)
Acta Universitatis Carolinae. Mathematica et Physica
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Marczewski sets, measure and the Baire property
John Walsh (1988)
Fundamenta Mathematicae
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On the generalized property
Marek Balcerzak (1986)
Mathematica Slovaca
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Some examples of d-ideals and related Baire systems
R. Mauldin (1971)
Fundamenta Mathematicae
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On Marczewski sets and some ideals.
Balcerzak, M. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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Continuous-, derivative-, and differentiable-restrictions of measurable functions
Jack Brown (1992)
Fundamenta Mathematicae
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We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.
On the structure of perfect sets in various topologies associated with tree forcings
Andrzej Nowik, Patrick Reardon (2013)
Open Mathematics
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We prove that the Ellentuck, Hechler and dual Ellentuck topologies are perfect isomorphic to one another. This shows that the structure of perfect sets in all these spaces is the same. We prove this by finding homeomorphic embeddings of one space into a perfect subset of another. We prove also that the space corresponding to eventually different forcing cannot contain a perfect subset homeomorphic to any of the spaces above.