Continua Determined by Mappings

J._J. Charatonik, W._J. Charatonik

A family $\Cal C$ of continua is said to be determined by a class $\frak M$ of mappings if a continuum $Y$ is in $\Cal C$ if and only if each mapping from a continuum onto $Y$ is in $\frak M$. The paper contains a study of this notion for various families $\Cal C$ of continua and various classes $\frak M$ of mappings between them.