scholarly journals Every countably infinite group is almost Ornstein

Author(s):  
Lewis Bowen
1961 ◽  
Vol 13 (2) ◽  
pp. 268-273 ◽  
Author(s):  
Teishirô Saitô

2021 ◽  
pp. 101773
Author(s):  
Zachary Abel ◽  
Erik D. Demaine ◽  
Martin L. Demaine ◽  
Jason S. Ku ◽  
Jayson Lynch ◽  
...  
Keyword(s):  

Author(s):  
Ommolbanin Behzad ◽  
André Contiero ◽  
Letterio Gatto ◽  
Renato Vidal Martins

AbstractAn explicit description of the ring of the rational polynomials in r indeterminates as a representation of the Lie algebra of the endomorphisms of the k-th exterior power of a countably infinite-dimensional vector space is given. Our description is based on results by Laksov and Throup concerning the symmetric structure of the exterior power of a polynomial ring. Our results are based on approximate versions of the vertex operators occurring in the celebrated bosonic vertex representation, due to Date, Jimbo, Kashiwara and Miwa, of the Lie algebra of all matrices of infinite size, whose entries are all zero but finitely many.


Author(s):  
Matías Fuentes ◽  
Fernando Tohmé

Abstract In this paper we analyze the existence of stable matchings in a two-sided large market in which workers are assigned to firms. The market has a continuum of workers while the set of firms is countably infinite. We show that, under certain reasonable assumptions on the preference correspondences, stable matchings not only exist but are also Pareto optimal.


1996 ◽  
Vol 324 ◽  
pp. 393-406 ◽  
Author(s):  
J.-M. Vanden-Broeck ◽  
F. Dias

Symmetric suction flows are computed. The flows are free-surface flows with two stagnation points. The configuration is related to the modelling of wave breaking at the bow of a ship. It is shown that there is a countably infinite number of solutions and that the free-surface profiles are characterized by waves.


Author(s):  
Christopher C. Green ◽  
Christopher J. Lustri ◽  
Scott W. McCue

New numerical solutions to the so-called selection problem for one and two steadily translating bubbles in an unbounded Hele-Shaw cell are presented. Our approach relies on conformal mapping which, for the two-bubble problem, involves the Schottky-Klein prime function associated with an annulus. We show that a countably infinite number of solutions exist for each fixed value of dimensionless surface tension, with the bubble shapes becoming more exotic as the solution branch number increases. Our numerical results suggest that a single solution is selected in the limit that surface tension vanishes, with the scaling between the bubble velocity and surface tension being different to the well-studied problems for a bubble or a finger propagating in a channel geometry.


2013 ◽  
Vol 2013 ◽  
pp. 1-2 ◽  
Author(s):  
Jutirekha Dutta
Keyword(s):  

A finite or infinite group is called an n-centralizer group if it has n numbers of distinct centralizers. In this paper, we prove that a finite or infinite group G is a 4-centralizer group if and only if G/Z(G) is isomorphic to C2×C2. This extends a result of Belcastro and Sherman.


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