Answer

Characterizing continuity in topological spaces F. G. Arenas and M. L. Puertas

Asked in Questions for discussion: Capturing continuity of functions by families of sets by Daniel Velleman

We show that if X is locally connected first countable space and Y is regular and normal then the continuous maps between X and Y are precisely the maps that send connected sets to connected sets and compact sets to compact sets.

Received by the editors: June 26, 1997
Published: June 26, 1997