The density topology is not generated


Krzysztof Ciesielski & Lee Larson

Real Anal. Exchange 16 (1990-91), 522-525

A topological space (X,T) is generated if, whenever T' is another topology on X, with the property that the set of continuous selfmaps f:(X,T')-->(X,T') contains the set of continuous selfmaps f:(X,T)-->(X,T), then it is also true that T is a subset of T'. The purpose of this note is to show that the density topology on R is generated.

LaTeX 2e source file. Requires rae.cls file.

Last modified May 6, 1999.