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Maxima and minima of simply continuous and quasicontinuous functions. (English) Zbl 0889.54005

Functions which are maxima and minima of simply continuous and quasicontinuous functions are characterized.

MSC:

54C08 Weak and generalized continuity

References:

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[2] BORSÍK J.-DOBOŠ J.: A note on real cliquish functions. Real Anal. Exchange 18 (1992-93), 139-145.
[3] DOBOŠ J.: Simple continuity and cliquishness. Časopis Pěst. Mat. 112 (1987), 355-358. · Zbl 0628.54011
[4] HAWORTH R. C.-MCCOY R. A.: Baire spaces. Dissertationes Math. (Rozprawy Mat.) 141 (1977). · Zbl 0344.54001
[5] NATKANIEC T.: On the maximum and the minimum of quasi-continuous functions. Math. Slovaca 42 (1992), 103-110. · Zbl 0789.54021
[6] NEUBRUNN T.: Quasi-continuity. Real Anal. Exchange 14 (1988-89), 259-306. · Zbl 0679.26003
[7] NEUBRUNNOVÁ A.: On certain generalizations of the notion of continuity. Mat. Časopis 23 (1973), 374-384. · Zbl 0267.54007
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