Preserved under Sacks forcing again?

DOI10.1007/S10474-017-0780-9zbMath1413.03009OpenAlexW2774075737MaRDI QIDQ1705186

Peng Zhang

Publication date: 14 March 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0780-9

zbMATH Keywords

selective ultrafilterRamsey ultrafilterRamsey spaceSacks forcinglocal Ramsey theoryparametrized Ramsey theory

Mathematics Subject Classification ID

Ramsey theory (05D10) Other combinatorial set theory (03E05) Partition relations (03E02) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (1)

CLASSES OF BARREN EXTENSIONS

Cites Work

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• Parametrized partitions of products of finite sets
• Sacks forcing and the total failure of Martin's axiom
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• Introduction to Ramsey Spaces (AM-174)
• Products of Infinitely Many Perfect Trees
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• Happy families
• Borel sets and Ramsey's theorem
• Selective ultrafilters on FIN
• A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, Part 2
• A notion of selective ultrafilter corresponding to topological Ramsey spaces
• A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1

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