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A midpoint function and an end point function in continua

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Abstract In this paper we consider the hyperspace of arcs and singletons of a continuum and we study properties of an end point function and a midpoint function defined in… Click to show full abstract

Abstract In this paper we consider the hyperspace of arcs and singletons of a continuum and we study properties of an end point function and a midpoint function defined in such hyperspace. We investigate conditions under which such functions are continuous, open and/or closed, among other properties. Finally, we use the behavior of these functions to characterize some classes of continua.

Keywords: end point; function end; midpoint function; function; point function

Journal Title: Topology and its Applications
Year Published: 2018

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