Geodesic
Balleans of bounded geometry and G-spaces
Algebra and discrete mathematics, no. 2 (2008), pp. 101-108

Voir la notice de l'article provenant de la source Math-Net.Ru

A ballean (or a coarse structure) is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that a ballean can be considered as an asymptotical counterpart of a uniform topological space. We prove that every ballean of bounded geometry is coarsely equivalent to a ballean on some set $X$ determined by some group of permutations of $X$.
Keywords: ballean, coarse equivalence, G-space. 
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     author = {Igor V. Protasov},
     title = {Balleans of bounded geometry and {G-spaces}},
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     year = {2008},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2008_2_a6/}
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Igor V. Protasov. Balleans of bounded geometry and G-spaces. Algebra and discrete mathematics, no. 2 (2008), pp. 101-108. http://geodesic.mathdoc.fr/item/ADM_2008_2_a6/