منابع مشابه
Sanjay Sane
Sanjay Sane is an Associate Professor at the National Centre for Biological Sciences, Tata Institute of Fundamental Research in Bangalore, India. He has a bachelor’s degree in Physics, Chemistry and Mathematics from St. Stephen’s College in University of Delhi, and a Master’s degree in Physics from the University of Poona in Pune, India. His doctoral work at University of California, Berkeley i...
متن کاملThe HOD Dichotomy
This paper provides a more accessible account of some of the material from Woodin [4] and [5]. All unattributed results are due to the first author. Recall that 0# is a certain set of natural numbers that codes an elementary embedding j : L → L such that j 6= id L. Jensen’s covering lemma says that if 0# does not exist and A is an uncountable set of ordinals, then there exists B ∈ L such that A...
متن کاملA Sane Struggle.
The past is not the just past, but an integral part of our present. And our present must not be only our present misfortune. We can develop new themes in our lives that defy our hardships and create context for what is to come. These themes may return years later with new twists of triumph or tragedy. They are our themes, and belong to us. Meanwhile, we can celebrate our present and future by c...
متن کاملOn HOD-supercompactness
During his Fall 2005 set theory seminar, Woodin asked whether Vsupercompactness implies HOD-supercompactness. We show, as he predicted, that that the answer is no.
متن کاملCollapsing the Cardinals of Hod
Assuming that GCH holds and κ is κ+3-supercompact, we construct a generic extension W of V in which κ remains strongly inaccessible and (α+)HOD < α+ for every infinite cardinal α < κ. In particular the rank-initial segment Wκ is a model of ZFC in which (α+)HOD < α+ for every infinite cardinal α.
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ژورنال
عنوان ژورنال: Geoadria
سال: 2017
ISSN: 1848-9710,1331-2294
DOI: 10.15291/geoadria.565