Protasov, Igor V.(Universitat Politècnica de València, 2008-10-01)
[EN] A ballean 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 the balleans can be considered as a natural asymptotic ...
Protasov, Igor V.(Universitat Politècnica de València, 2007-10-01)
[EN] A ballean is a set X endowed with some family F of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. Then we define the asymptotic counterparts for dense ...
Protasov, Igor(Universitat Politècnica de València, 2019-04-01)
[EN] A ballean (or coarse space) is a set endowed with a coarse structure. A ballean X is called normal if any two asymptotically disjoint subsets of X are asymptotically separated. We say that a ballean X is ultra-normal ...
Protasova, Olga I.(Universitat Politècnica de València, 2006-10-01)
[EN] A ballean is a set X endowed with some family of subsets of X which are called the balls. We postulate the properties of the family of balls in such a way that the balleans with the appropriate morphisms can be ...
Filali, Mahmoud; Protasov, Igor V.(Universitat Politècnica de València, 2008-10-01)
[EN] A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant called ...
Lutsenko, Ievgen; Protasov, Igor V.(Universitat Politècnica de València, 2010-10-01)
[EN] A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpar tof a uniform topological space. We characterize the ideal generated by the family of all ...