Real Analysis Exchange

On the Comparison of Density Type Topologies Generated by Functions

Małgorzata Filipczak and Tomasz Filipczak

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Abstract

In the paper there is presented a necessary and sufficient condition to compare \(f\)-density topologies.

Article information

Source
Real Anal. Exchange, Volume 36, Number 2 (2010), 341-352.

Dates
First available in Project Euclid: 11 November 2011

Permanent link to this document
https://projecteuclid.org/euclid.rae/1321020504

Mathematical Reviews number (MathSciNet)
MR3016720

Zentralblatt MATH identifier
1227.54006

Subjects
Primary: 54A10: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27} 26E25%
Secondary: 26E25: Set-valued functions [See also 28B20, 49J53, 54C60] {For nonsmooth analysis, see 49J52, 58Cxx, 90Cxx}

Keywords
density points density topology comparison of topologies \(f\)-density

Citation

Filipczak, Małgorzata; Filipczak, Tomasz. On the Comparison of Density Type Topologies Generated by Functions. Real Anal. Exchange 36 (2010), no. 2, 341--352. https://projecteuclid.org/euclid.rae/1321020504


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References

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