scholarly journals Game-theoretic characterization of antidegradable channels

2014 ◽  
Vol 55 (9) ◽  
pp. 092202 ◽  
Author(s):  
Francesco Buscemi ◽  
Nilanjana Datta ◽  
Sergii Strelchuk
1996 ◽  
Vol 19 (3) ◽  
pp. 495-500 ◽  
Author(s):  
Zbigniew Piotrowski

Using a game-theoretic characterization of Baire spaces, conditions upon the domain and the range are given to ensure a “fat” setC(f)of points of continuity in the sets of typeX×{y},y∈Yfor certain almost separately continuous functionsf:X×Y→Z. These results (especially Theorem B) generalize Mibu's. First Theorem, previous theorems of the author, answers one of his problems as well as they are closely related to some other results of Debs [1] and Mibu [2].


2011 ◽  
Vol 412 (12-14) ◽  
pp. 1169-1183 ◽  
Author(s):  
Vassilis Kountouriotis ◽  
Christos Nomikos ◽  
Panos Rondogiannis

1977 ◽  
Vol 42 (2) ◽  
pp. 254-260
Author(s):  
Rainer Deissler

A model is called minimal if it does not contain a proper elementary submodel. A class of models is called Σ11(Π11 resp. elementary) if it is axiomatized by a sentence with σ in and some string of predicate symbols. All languages considered are assumed to be countable. For each model we shall define in a natural way its rank, denoted by rk (), which is an ordinal or ∞. Intuitively speaking, rk () is the least upper bound for the number of steps needed to define the elements of by first order formulas; e.g. we shall have rk((ω, <)) = 1 (each element is f.o. definable), rk ((Z, <)) = 2 (no element is f.o. definable, each element is f.o. definable using any other element as a parameter), rk ((Q, <) ) = ∞ (no element is f.o. definable by any number of steps). This notion of rank leads to a useful game theoretic characterization of minimal models which we apply to show that the Π11 class of minimal models is not Σ11.


Author(s):  
M. Ferrara ◽  
M. Trombetti

AbstractLet G be an abelian group. The aim of this short paper is to describe a way to identify pure subgroups H of G by looking only at how the subgroup lattice $$\mathcal {L}(H)$$ L ( H ) embeds in $$\mathcal {L}(G)$$ L ( G ) . It is worth noticing that all results are carried out in a local nilpotent context for a general definition of purity.


2021 ◽  
Vol 31 (3) ◽  
pp. 033107
Author(s):  
F. R. Iaconis ◽  
A. A. Jiménez Gandica ◽  
J. A. Del Punta ◽  
C. A. Delrieux ◽  
G. Gasaneo

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