Open Access
1999/2000 The Density Topology is Maximally Resolvable
Jouni Luukkainen
Real Anal. Exchange 25(1): 419-420 (1999/2000).

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

Download 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

Vol.25 • No. 1 • 1999/2000
Back to Top