## Real Analysis Exchange

### Maximally Resolvable Lower Density Spaces

#### Abstract

We show that all measure based and all category based lower density topologies on $\mathbb{R}$ are maximally resolvable in $\mathbf{ZFC}$ and extraresolvable under $\mathbf{ZFC + MA}$. It is also noted that both maximal resolvability and extraresolvability are feeble topological properties

#### Article information

Source
Real Anal. Exchange Volume 33, Number 2 (2007), 475-482.

Dates
First available in Project Euclid: 18 December 2008

http://projecteuclid.org/euclid.rae/1229619426

Mathematical Reviews number (MathSciNet)
MR2458265

Zentralblatt MATH identifier
1159.28001

#### Citation

Rose, David; Thurston, Ben. Maximally Resolvable Lower Density Spaces. Real Anal. Exchange 33 (2007), no. 2, 475--482. http://projecteuclid.org/euclid.rae/1229619426.

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