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Title of Journal: Arch Math Logic

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Abbravation: Archive for Mathematical Logic

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Springer-Verlag

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10.1007/bf01694875

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1432-0665

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Homogeneous iteration and measure one covering rel

Authors: Natasha Dobrinen SyDavid Friedman
Publish Date: 2008/09/24
Volume: 47, Issue: 7-8, Pages: 711-718
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Abstract

Relative to a hyperstrong cardinal it is consistent that measure one covering fails relative to HOD In fact it is consistent that there is a superstrong cardinal and for every regular cardinal κ κ + is greater than κ + of HOD The proof uses a very general lemma showing that homogeneity is preserved through certain reverse Easton iterations

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  1. On the indestructibility aspects of identity crisis
  2. Strict core fuzzy logics and quasi-witnessed models
  3. The large cardinals between supercompact and almost-huge
  4. Prefix and plain Kolmogorov complexity characterizations of 2-randomness: simple proofs
  5. A blend of methods of recursion theory and topology: A Π 1 0 tree of shadow points
  6. Maximally embeddable components
  7. C-Quasi-Minimal enumeration degrees below c'
  8. The logic of equilibrium and abelian lattice ordered groups
  9. Register computations on ordinals
  10. On omega-categorical simple theories
  11. Some weak fragments of Martin’s axiom related to the rectangle refining property
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