Unbounded and dominating reals in Hechler extensions

DOI10.2178/jsl.7801190zbMath1278.03083arXiv1201.2932OpenAlexW2094333355MaRDI QIDQ4916560

Justin Palumbo

Publication date: 23 April 2013

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2932

zbMATH Keywords

dominating realHechler forcingccc forcingunbounded realtree Hechler forcing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Cardinal characteristics of the continuum (03E17) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (2)

Countable OD sets of reals belong to the ground model ⋮ GENERIC CODING WITH HELP AND AMALGAMATION FAILURE

Cites Work

• Eventually different functions and inaccessible cardinals
• Combinatorial properties of Hechler forcing
• Inner models with many Woodin cardinals
• Bounding and Dominating Number of Families of Functions on ω
• Optimal Proofs of Determinacy

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