Abstract
We prove that the real line is the union of $\co$ disjoint sets each meeting each nonempty set open in the density topology in $\co$ points.
Citation
Jouni Luukkainen. "The Density Topology is Maximally Resolvable." Real Anal. Exchange 25 (1) 419 - 420, 1999/2000.
Information
Published: 1999/2000
First available in Project Euclid: 5 January 2009
zbMATH: 1009.54006
MathSciNet: MR1758897
Subjects:
Primary:
28A05
,
Primary54A25
Keywords:
density topology
,
maximally resolvable
Rights: Copyright © 1999 Michigan State University Press