Real Analysis Exchange

On Topologies Connected With Hausdorff Measures

Grażyna Horbaczewska

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Abstract

Notions of density points and topologies associated with various set-theoretic ideals connected with Hausdorff measures are introduced and their properties investigated. Inclusions between the ideals and between the topologies are shown.

Article information

Source
Real Anal. Exchange, Volume 33, Number 1 (2007), 153-160.

Dates
First available in Project Euclid: 28 April 2008

Permanent link to this document
https://projecteuclid.org/euclid.rae/1209398385

Mathematical Reviews number (MathSciNet)
MR2402870

Zentralblatt MATH identifier
1148.28003

Subjects
Primary: 28A78: Hausdorff and packing measures 28A05: Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05] 54A10: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)

Keywords
Hausdorff measures density topology $\sigma$-ideal

Citation

Horbaczewska, Grażyna. On Topologies Connected With Hausdorff Measures. Real Anal. Exchange 33 (2007), no. 1, 153--160. https://projecteuclid.org/euclid.rae/1209398385


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