منابع مشابه
Internally Club and Approachable for Larger Structures
We generalize the notion of a fat subset of a regular cardinal κ to a fat subset of Pκ(X), where κ ⊆ X. Suppose μ < κ, μ<μ = μ, and κ is supercompact. Then there is a generic extension in which κ = μ++, and for all regular λ ≥ μ++, there are stationarily many N in [H(λ)]μ which are internally club but not internally approachable. Suppose μ is an infinite cardinal. A set N is internally approach...
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Throughout the paper we will use the standard definitions and notation ([ABR], [E]). Let X and Y be metric spaces. The goal is to study some intermediate classes of functions between the class Cuc(X,Y ) of all uniformly continuous mappings (briefly, UC) from X into Y and the class C(X,Y ) of all continuous functions f :X → Y . These classes, defined below, have been intensively studied in [BD] ...
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This essay looks at the historical significance of three APS classic papers that are freely available online: Kuffler SW. Discharge patterns and functional organization of mammalian retina. J Neurophysiol 16: 37–68, 1953 (http://jn.physiology.org/cgi/reprint/16/1/37). Dowling JE and Werblin FS. Organization of retina of the mudpuppy, Necturus maculosus. I. Synaptic structure. J Neurophysiol 32:...
متن کاملApproachability at the second successor of a singular cardinal
We prove that if μ is a regular cardinal and P is a μ-centered forcing poset, then P forces that (I[μ++])V generates I[μ++] modulo clubs. Using this result, we construct models in which the approachability property fails at the successor of a singular cardinal. We also construct models in which the properties of being internally club and internally approachable are distinct for sets of size the...
متن کاملInternal 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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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2007
ISSN: 0001-8708
DOI: 10.1016/j.aim.2007.01.007