Balleans and filters

Author O. V. Petrenko, I. V. Protasov
opetrenko72@gmail.com, i.v.protasov@gmail.com
Department of Cybernetics, Kyiv University

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.
Keywords ballean; ballean-filter mix; ballean-ideal mix
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Pages 3-11
Volume 38
Issue 1
Year 2012
Journal Matematychni Studii
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