Darboux-like functions on R^n within the classes of Baire one, Baire two, and additive functions
by
Krzysztof Chris Ciesielski
West Virginia University

I will present an exhaust discussion of the inclusion relations between Darboux-like functions (i.e., connectivity, almost continuous, Darboux, and extendable) within the classes of Baire one, Baire two, and additive functions from R^n into R. In the talk I will specially emphasize the functions from the plane into R where topological properties of the plane play an important role in the arguments. The talk will be, in most part, based on a joint work with Jan Jastrzebski.

Date received: February 11, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caas-53.