منابع مشابه
Resolvability and Monotone Normality
A space X is said to be κ-resolvable (resp. almost κ-resolvable) if it contains κ dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets). X is maximally resolvable iff it is ∆(X)-resolvable, where ∆(X) = min{|G| : G 6= ∅ open}. We show that every crowded monotonically normal (in short: MN) space is ω-resolvable and almost μ-resolvable, where μ = mi...
متن کاملResolvability of Infinite Designs
In this paper we examine the resolvability of infinite designs. We show that in stark contrast to the finite case, resolvability for infinite designs is fairly commonplace. We prove that every t-(v, k,Λ) design with t finite, v infinite and k, λ < v is resolvable and, in fact, has α orthogonal resolutions for each α < v. We also show that, while a t-(v, k,Λ) design with t and λ finite, v infini...
متن کاملResolvability on Continuous Alphabets
We characterize the resolvability region for a large class of point-to-point channels with continuous alphabets. In our direct result, we prove not only the existence of good resolvability codebooks, but adapt an approach based on the Chernoff-Hoeffding bound to the continuous case showing that the probability of drawing an unsuitable codebook is doubly exponentially small. For the converse par...
متن کاملSecrecy from Resolvability
We analyze physical-layer security based on the premise that the coding mechanism for secrecy over noisy channels is tied to the notion of resolvability. Instead of considering capacity-based constructions, which associate to each message a sub-code that operates just below the capacity of the eavesdropper’s channel, we consider resolvability-based constructions, which associate to each message...
متن کاملResolvability of references in users' personal collections
Introduction. Digital library users collect, enhance and manage their online reference collections to facilitate their research tasks. These personal collections, therefore, are likely to reflect users' interests, and are representative of their profile. Understanding these collections offers great opportunities for developing personalized digital library services, such as reference recommender...
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: Topology and its Applications
سال: 2016
ISSN: 0166-8641
DOI: 10.1016/j.topol.2016.06.016