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Partially Confluent Maps And N-Ods, Van C. Nall
Partially Confluent Maps And N-Ods, Van C. Nall
Department of Math & Statistics Faculty Publications
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 …