Compositions of Darboux-like Functions
by
Kenneth R. Kellum
San Jose State University

An example is given of a real connectivity function which is not the composition of any finite collection of almost continuous functions. In finding this example, I discovered the following theorem which seems to have been overlooked: Suppose f and g are Darboux functions from Re to Re where f is onto. If g o f is continuous, then g is continuous.

Date received: February 17, 1998