Indestructibility properties of remarkable cardinals

DOI10.1007/S00153-015-0453-8zbMath1354.03071arXiv1411.2551OpenAlexW1947375627MaRDI QIDQ892148

Victoria Gitman, Yong Cheng

Publication date: 18 November 2015

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2551

zbMATH Keywords

large cardinalsindestructibilityremarkable cardinalsLaver functions

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (2)

Generic Vopěnka's principle, remarkable cardinals, and the weak proper forcing axiom ⋮ ON C⁽ⁿ⁾-EXTENDIBLE CARDINALS

Cites Work

• Unnamed Item
• Large cardinals need not be large in HOD
• Diamond (on the regulars) can fail at any strongly unfoldable cardinal
• Indestructible strong unfoldability
• On certain indestructibility of strong cardinals and a question of Hajnal
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• The wholeness axiom and Laver sequences
• Measurable cardinals and the continuum hypothesis
• On the role of supercompact and extendible cardinals in logic
• Proper forcing and remarkable cardinals II
• Ramsey-like cardinals II
• Iterated Forcing and Elementary Embeddings
• Proper Forcing and Remarkable Cardinals
• Ultrafilters and Independent Sets
• Superstrong and other large cardinals are never Laver indestructible

This page was built for publication: Indestructibility properties of remarkable cardinals