Abstract

LOPEZ, MARÍA DE JESÚS; PELLICER-COVARRUBIAS, PATRICIA  and  SERAPIO RAMOS, IVÁN. Introduction to the midpoint function in continua. Integración - UIS [online]. 2016, vol.34, n.1, pp.109-123. ISSN 0120-419X.  https://doi.org/10.18273/revint.v34n1-2016007.

The hyperspace of arcs of a continuum was defined by Sam B. Nadler, Jr. in 1978. Later, A. Soto studied in 1999 the hyperspace of arcs and singletons of a continuum, which we will denote in this paper by M(X). In this article we introduce a midpoint function and the end point function in M(X), we present some of their basic properties, we compare them and we give a characterization of the continuity of both of them.

Keywords : end point function; Whitney map; mid point function; hyperspace of arcs and singletons; midpoint; end point.

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