Читать книгу Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications - Valeri Obukhovskii - Страница 15

In mathematics there are no symbols for obscure thoughts.

—Henri Poincaré

The variety of operations that can be defined on multimaps is intrinsically richer than for single-valued maps: such operations as union, intersection of multimaps and some others have no “single-valued” analogs. In this section we investigate the preserving of continuity properties of multimaps with respect to various operations on them.