Читать книгу Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications - Valeri Obukhovskii - Страница 11

He who wants to get to the source must swim against the current.

—Stanislaw Jerzy Lec

The classical concept of continuity of a single-valued map splits into different notions when generalized to multimaps and each of these types of continuity has its own specific properties. This variety is based on the fact that the usual set-theoretic notion of the inverse image of a set can be interpreted differently when being applied to multimaps. We will start with the study of this notion.