منابع مشابه
How Many Normal Measures Can א ω 1 + 1 Carry ? ∗ †
Relative to the existence of a supercompact cardinal with a measurable cardinal above it, we show that it is consistent for א1 to be regular and for אω1+1 to be measurable and to carry precisely τ normal measures, where τ ≥ אω1+2 is any regular cardinal. This extends the work of [2], in which the analogous result was obtained for אω+1 using the same hypotheses. In [2], models were constructed f...
متن کاملinfinite groups with many generalized normal subgroups
a subgroup $x$ of a group $g$ is almost normal if the index $|g:n_g(x)|$ is finite, while $x$ is nearly normal if it has finite index in the normal closure $x^g$. this paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.
متن کاملAggregating infinitely many probability measures
The problem of how to rationally aggregate probability measures occurs in particular (i) when a group of agents, each holding probabilistic beliefs, needs to rationalise a collective decision on the basis of a single ‘aggregate belief system’ and (ii) when an individual whose belief system is compatible with several (possibly infinitely many) probability measures wishes to evaluate her options ...
متن کاملThe number of normal measures
There have been numerous results showing that a measurable cardinal κ can carry exactly α normal measures in a model of GCH, where α is a cardinal at most κ++. Starting with just one measurable cardinal, we have [9] (for α = 1), [10] (for α = κ++, the maximum possible) and [1] (for α = κ+, after collapsing κ++). In addition, under stronger large cardinal hypotheses, one can handle the remaining...
متن کاملNormal Measures and Strongly Compact Cardinals
We prove four theorems concerning the number of normal measures a non-(κ+ 2)-strong strongly compact cardinal κ can carry.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 2014
ISSN: 0029-4527
DOI: 10.1215/00294527-2688060