Abstract

For metrizable continua, there exists the well-known notion of a Whitney map. Garc\i a-Velazquez extends the definition of Whitney map for $C(X)$, where $X$ is an arbitrary continuum (not necessarily metrizable). He also shows that the examples he considers do not admit such generalized Whitney maps. In this paper we shall investigate the properties of continua which admit such generalized Whitney maps.

Keywords: Generalized Whitney map; hyperspace.

MSC: 54B20, 54F15

Pages:  233$-$245     

Volume  67 ,  Issue  4 ,  2015