A note on generalized Whitney maps

Abstract

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