semi-confluent

A surjective mapping $f: X \to Y$ between compact spaces is said to be (see [59, Chapter 3 and 4, p. 12-28]):
- semi-confluent provided that for each subcontinuum Q of Y and for every two components C₁ and C₂ of f^-1(Q) either $f(C_1) \subset f(C_2)$ or $f(C_2) \subset f(C_1)$.