منابع مشابه
Internal Approachability and Reflection
We prove that the Weak Reflection Principle does not imply that every stationary set reflects to an internally approachable set. We show that several variants of internal approachability, namely internally unbounded, internally stationary, and internally club, are not provably equivalent. Let λ ≥ ω2 be a regular cardinal, and consider an elementary substructure N ≺ H(λ) with size א1. Then N is ...
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We study the approachability ideal I[κ+] in the context of large cardinals and properties of the regular cardinals below a singular κ. As a guiding example consider the approachability ideal I[אω+1] assuming that אω is a strong limit. In this case we obtain that club many points in אω+1 of cofinality אn for some n > 1 are approachable assuming the joint reflection of countable families of stati...
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Total internal reflection fluorescence (TIRF) is an optical effect particularly well-suited to the study of molecular and cellular phenomena at liquid/solid interfaces. Such interfaces are central to a wide range of biochemical and biophysical processes: binding to and triggering of cells by hormones, neurotransmitters, and antigens; blood coagulation at foreign surfaces; electron transport in ...
متن کاملLecture : Blackwell's Approachability Theorem . Blackwell's Approachability Theorem
Counter-example to (.): If S = {(p,q) : p = q} and r(p,q) = (p,q), one can trivially, for all q, choose p(q) = q to guarantee that r(p(q),q) ∈ S. It is however not possible to find a p which works for all q, indeed the only p which works for a given q is p = q. However, the duality statement (.) holds when S is a half-space {x | v ·x ≥ c}. To see this, define a zero-sum game with scalar p...
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ژورنال
عنوان ژورنال: Journal of Mathematical Logic
سال: 2008
ISSN: 0219-0613,1793-6691
DOI: 10.1142/s0219061308000701