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Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco | Auburn University | 1992In this paper we use the lower semifinite topology in hyperspaces to obtain examples in topology such as pseudocompact spaces not countably compact, separable spaces not Lindelöf and in a natural way many spaces appear which are T0 but not T1. W[...]texto impreso
In this paper we give necessary and sufficient conditions on three orientation-preserving hyperbolic isometries T1,T2,T3 so that for any point x ? H2 the orthogonal bisectors of the three segments with endpoints x, Ti(x) intersect. This is equiv[...]texto impreso
The authors give a definition of a function ? : SH! TOP, which in a sense is an anlogue of the Borsuk functor , where (X) is the space of the components of X, with the change from components to quasi-components. Several properties of this funct[...]