Points of Continuity, Quasicontinuity, Cliquishness, and Upper and Lower Quasicontinuity
Ján Borsík
Source: Real Anal. Exchange Volume 33, Number 2
(2007), 339-350.
Abstract
The quadruplet $(C(f), Q(f), E(f), A(f))$ is characterized, where $C(f)$, $Q(f)$, $E(f)$ and $A(f)$ are the sets of all continuity, quasicontinuity, upper and lower quasicontinuity and cliquishness points of a real function $f$ of real variable, respectively.
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Permanent link to this document: http://projecteuclid.org/euclid.rae/1229619412
Mathematical Reviews number (MathSciNet): MR2458251
Zentralblatt MATH identifier: 1162.54003
References
J. Borsík, On the points of bilateral quasicontinuity, Real Anal. Exchange 19 (2) (1993/94), 529–536.
Mathematical Reviews (MathSciNet): MR1282669
Zentralblatt MATH: 0807.26002
J. Ewert, J. S. Lipiński, On the points of continuity, quasicontinuity and cliquishness, Real Anal. Exchange 8(2) (1982/83), 473–478.
Mathematical Reviews (MathSciNet): MR700197
Zentralblatt MATH: 0529.26003
J. Ewert, T. Lipski, Lower and upper quasicontinuous functions, Demonstratio Math. 16 (1983), 85–93.
Mathematical Reviews (MathSciNet): MR723964
Z. Grande, Quasicontinuity, cliquishness and the Baire property of functions of two variables, Tatra Mt. Math. Publ. 24 (2002), 29–35.
Mathematical Reviews (MathSciNet): MR1939725
Zentralblatt MATH: 1022.26013
J. S. Lipiński, T. Šalát, On the points of quasicontinuity and cliquishness of functions, Czechoslovak Math. J. 21 (1971), 484–489.
Mathematical Reviews (MathSciNet): MR287517
Zentralblatt MATH: 0219.26004
T. Neubrunn, Quasi-continuity, Real Anal. Exchange 14(2) (1988/89), 259–308.
Mathematical Reviews (MathSciNet): MR995972
Zentralblatt MATH: 0679.26003
W. Sierpiński, Sur une propriété des ensembles $F_{\sigma}$ lineáires, Fund. Math. 14 (1929), 216–226.
E. Strońska, Maximal families for the class of upper and lower semi-quasicontinuous functions, Real Anal. Exchange 27(2) (2001/2002), 599–608.
Mathematical Reviews (MathSciNet): MR1922671
Zentralblatt MATH: 1068.26009
Project Euclid: euclid.rae/1212412858
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