Displaying similar documents to “Common fixed points for Lipschitzian semigroups.”

Hausdorff topology and uniform convergence topology in spaces of continuous functions

Umberto Artico, Giuliano Marconi (1995)

Commentationes Mathematicae Universitatis Carolinae

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The local coincidence of the Hausdorff topology and the uniform convergence topology on the hyperspace consisting of closed graphs of multivalued (or continuous) functions is related to the existence of continuous functions which fail to be uniformly continuous. The problem of the local coincidence of these topologies on C ( X , Y ) is investigated for some classes of spaces: topological groups, zero-dimensional spaces, metric manifolds.

On the gluing of hyperconvex metrics and diversities

Bożena Piątek (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this work we consider two hyperconvex diversities (or hyperconvex metric spaces) (X, δX) and (Y, δY ) with nonempty intersection and we wonder whether there is a natural way to glue them so that the new glued diversity (or metric space) remains being hyperconvex. We provide positive and negative answers in both situations.