Real Analysis Exchange

On subcontinuity.

Branislav Novotný

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Abstract

A new characterization of subcontinuity of functions is given. Relations among subcontinuity, local boundedness and local compactness are studied. The set of points of subcontinuity of functions is investigated.

Article information

Source
Real Anal. Exchange, Volume 31, Number 2 (2005), 535-545.

Dates
First available in Project Euclid: 10 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.rae/1184104045

Mathematical Reviews number (MathSciNet)
MR2265794

Zentralblatt MATH identifier
1111.26006

Subjects
Primary: 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}

Keywords
subcontinuous function locally totally bounded function locally bounded function almost resolvable space $\sigma$-resolvable space

Citation

Novotný, Branislav. On subcontinuity. Real Anal. Exchange 31 (2005), no. 2, 535--545. https://projecteuclid.org/euclid.rae/1184104045


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References

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