Let f : X-->Y be a map between topological spaces. A Wf-set in Y is a continuum in Y which is the image under f of a continuum in X. The map f is partially confluent if each continuum in Y is the union of a finite number of Wf-sets, and n-partially confluent if each continuum in Y is the union of n Wf-sets. In this paper, it is shown that every partially confluent map onto an n-cell is weakly confluent. Also, the relationship between partially confluent maps and continua which do not contain n-ods for some n is explored.
Copyright © 1989 Houston Journal of Mathematics. This article first appeared in Houston Journal of Mathematics 15:3 (1989), 409-415.
Nall, Van C. "Partially Confluent Maps and N-ODS." Houston Journal of Mathematics 15, no. 3 (1989): 409-415.