Resumen de Unilateral and bilateral characterizations of increasing maps

Luc Barbet

• We define and study various properties of lateral increasing for mappings de- fined between two ordered spaces. After introducing some particular classes of ordered spaces, we formulate unilateral characterizations of the property of increasing. The main theorem characterizes the increasing of a map defined on a complete totally ordered space with bilateral conditions which generalize the classical notions of right or left increasing (cf. [2])