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Balleans and filters
Journal: Matematychni Studii (Vol.38, No. 1)Publication Date: 2012-07-01
Authors : Petrenko O. V.; Protasov I. V.;
Page : 3-11
Keywords : ballean; ballean-filter mix; ballean-ideal mix;
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Abstract
A ballean (equivalently, a coarse structure) is an asymptotic counterpart of a uniform topo- logical space.We introduce three new constructions (namely, a ballean-filter mix, a ballean-ideal mix and a filter product of directed sets) to give some balleans with extremal properties. In particular, we construct a non-metrizable Frechet group ballean.
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