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26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) (99 articles)

• Bustamante, Jorge: A Marchaud type inequality. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 2, pp. 159-167
• Mirmiran, Majid: Insertion of a Contra-Baire-$1$ (Baire-$.5$) Function. (English). Communications in Mathematics, vol. 27 (2019), issue 2, pp. 89-101
• Natkaniec, Tomasz; Wódka, Julia: On the pointwise limits of sequences of Świątkowski functions. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 4, pp. 875-888
• Marinescu, Dan Ştefan; Monea, Mihai: Some mean value theorems as consequences of the Darboux property. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 211-224
• Korczak-Kubiak, Ewa; Pawlak, Ryszard J.: Trajectories, first return limiting notions and rings of $H$-connected and iteratively $H$-connected functions. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 3, pp. 679-700
• Saito, Shingo: Typical ${\Cal F}_{\sigma}$ sets and typical continuous functions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 47 (2006), issue 2, pp. 35-41
• Buczolich, Zoltán; Máthé, András: Where are typical $C^{1}$ functions one-to-one?. (English). Mathematica Bohemica, vol. 131 (2006), issue 3, pp. 291-303
• Krzempek, Jerzy; Plewik, Szymon: Discontinuity points of exactly $k$-to-one functions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 45 (2004), issue 2, pp. 55-58
• Buczolich, Zoltán: Micro tangent sets of continuous functions. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 147-167
• Ewert, Janina; Ponomarev, Stanislav P.: On the convergence of $\omega$-primitives. (English). Mathematica Slovaca, vol. 53 (2003), issue 1, pp. 59-66
• Ewert, Janina; Ponomarev, Stanislav P.: On the existence of $\omega$-primitives on arbitrary metric spaces. (English). Mathematica Slovaca, vol. 53 (2003), issue 1, pp. 51-57
• Szczuka, Paulina: Maximums of strong Świątkowski functions. (English). Mathematica Slovaca, vol. 52 (2002), issue 5, pp. 541-548
• Baláž, Vladimír; Šalát, Tibor: Zeros of continuous functions and the structure of two function spaces. (English). Mathematica Slovaca, vol. 52 (2002), issue 4, pp. 397-408
• Duszynski, Zbigniew; Grande, Zbigniew; Ponomarev, Stanislav P.: On the $\omega$-primitive. (English). Mathematica Slovaca, vol. 51 (2001), issue 4, pp. 469-476
• Maliszewski, Aleksander: Averages of quasi-continuous functions. (English). Mathematica Bohemica, vol. 124 (1999), issue 1, pp. 29-34
• Maliszewski, Aleksander: Maximums of Darboux quasi-continuous functions. (English). Mathematica Slovaca, vol. 49 (1999), issue 3, pp. 381-386
• Cao, Jiling; Dontchev, Julian: On a theorem of Popa and Noiri on multifunctions. (English). Mathematica Slovaca, vol. 49 (1999), issue 2, pp. 223-224
• Strońska, Ewa: On Mauldin's classification of real functions. (English). Mathematica Slovaca, vol. 49 (1999), issue 3, pp. 287-293
• Banaszewski, Krzysztof: Algebraic properties of functions with the Cantor intermediate value property. (English). Mathematica Slovaca, vol. 48 (1998), issue 2, pp. 173-185
• Grande, Zbigniew: On quasi-uniform convergence of a sequence of s.q.c. functions. (English). Mathematica Slovaca, vol. 48 (1998), issue 5, pp. 507-511
• Maliszewski, Aleksander: On the differences of upper semicontinuous quasi-continuous functions. (English). Mathematica Slovaca, vol. 48 (1998), issue 3, pp. 245-252
• Ganguly, D. K.; Majumdar, M.: Some results on projection of planar sets. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 815-820
• Herrlich, Horst: Choice principles in elementary topology and analysis. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 545-552
• Mimna, R. A.: A note on separate continuity and connectivity properties. (English). Mathematica Bohemica, vol. 122 (1997), issue 1, pp. 57-61
• Herrlich, Horst; Strecker, George E.: When is $\bold N$ Lindelöf?. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 553-556
• Katafiasz, A.: 1-Improvable discontinuous functions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 37 (1996), issue 2, pp. 29-35
• Král, Josef, Jr.: Note on functions satisfying the integral Hölder condition. (English). Mathematica Bohemica, vol. 121 (1996), issue 3, pp. 263-268
• Grande, Zbigniew: On almost continuous additive functions. (English). Mathematica Slovaca, vol. 46 (1996), issue 2, pp. 203-211
• Maliszewski, Aleksander: On theorems of Pu & Pu and Grande. (English). Mathematica Bohemica, vol. 121 (1996), issue 1, pp. 83-87
• Kováčik, Ondrej: On the asymptotic behaviour of a modulus of continuity with discrete description. (English). Mathematica Slovaca, vol. 45 (1995), issue 1, pp. 53-56
• Borsík, Ján: Products of simply continuous and quasicontinuous functions. (English). Mathematica Slovaca, vol. 45 (1995), issue 4, pp. 445-452
• Grande, Zbigniew: On Borsík's problem concerning quasiuniform limits of Darboux quasicontinuous functions. (English). Mathematica Slovaca, vol. 44 (1994), issue 3, pp. 297-301
• Grande, Zbigniew: Baire functions and their restrictions to special sets. (English). Mathematica Slovaca, vol. 43 (1993), issue 4, pp. 447-453
• Natkaniec, Tomasz: On Grande's problem concerning ${\cal B}\sb 1\sp*$ functions. (English). Mathematica Slovaca, vol. 43 (1993), issue 4, pp. 455-457
• Natkaniec, T.: On sums of Darboux functions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 34 (1993), issue 2, pp. 107-111
• Strońska, Ewa: On the family of functions with a closure of its graph of measure zero. (English). Mathematica Slovaca, vol. 43 (1993), issue 4, pp. 459-470
• Grande, Z.: On the limits of sequences of Darboux a.e. quasi-continuous functions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 34 (1993), issue 2, pp. 41-46
• Mařík, Jan Derivatives, continuous functions and bounded Lebesgue functions (English). Real Anal. Exchange 18 (1) (1992/93), 169–175
• Schwabik, Štefan: Linear operators in the space of regulated functions. (English). Mathematica Bohemica, vol. 117 (1992), issue 1, pp. 79-92
• Grande, Zbigniew: A note about the almost continuity. (English). Mathematica Slovaca, vol. 42 (1992), issue 3, pp. 265-268
• Janković, Dragan S.; Konstadilaki-Savvopoulou, Ch.: On $\alpha$-continuous functions. (English). Mathematica Bohemica, vol. 117 (1992), issue 3, pp. 259-270
• Neubrunová, A.; Šalát, Tibor: On almost quasicontinuity. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 197-205
• Natkaniec, Tomasz: On the maximum and the minimum of quasi-continuous functions. (English). Mathematica Slovaca, vol. 42 (1992), issue 1, pp. 103-110
• Borsík, Ján: Quasiuniform limits of quasicontinuous functions. (English). Mathematica Slovaca, vol. 42 (1992), issue 3, pp. 269-274
• Mařík, Jan Derivatives and convexity (English). Real Anal. Exchange 17 (2) (1991/92), 745–747
• Mařík, Jan The equation $f^2+g^2=h^2$, where $f$, $g$, and $h$ are derivatives (English). Real Anal. Exchange 17 (1) (1991_92), 37-38
• Mařík, Jan; Weil, Clifford E. Sums of powers of derivatives (English). Proc. Amer. Math. Soc. 112 (3) (1991), 807–817
• Grande, Zbigniew; Sołtysik, Leszek: On sequences of real functions with the Darboux property. (English). Mathematica Slovaca, vol. 40 (1990), issue 3, pp. 261-265
• Natkaniec, Tomasz: Products of quasi-continuous functions. (English). Mathematica Slovaca, vol. 40 (1990), issue 4, pp. 401-405
• Strońska, Ewa: L'espace linéaire des fonctions cliquées sur $R^n$ est généré par les fonctions quasi-continues. (French) [The linear space of cliquish functions on $R^n$ is generated by quasi-continuous functions]. Mathematica Slovaca, vol. 39 (1989), issue 2, pp. 155,156-164
• Holá, Ľubica: On determining sets for the class of somewhat continuous functions. (English). Mathematica Slovaca, vol. 39 (1989), issue 3, pp. 257-259
• Neubrunn, Tibor: O jednom úniku od spojitosti. (Slovak) [On an escape of continuity]. Pokroky matematiky, fyziky a astronomie, vol. 33 (1988), issue 5, pp. 273-281
• Kostyrko, Pavel: Quasicontinuity and some classes of Baire 1 functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 601-609
• Zajíček, L.: Alternative definitions of $J$-density topology. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 28 (1987), issue 1, pp. 57-61
• Pu, Hwang Wen; Pu, Huo Hui Min: On representations of Baire functions in a given family as sums of Baire Darboux functions with a common summand. (English). Časopis pro pěstování matematiky, vol. 112 (1987), issue 3, pp. 320-326
• Mařík, Jan; Weil, Clifford E. Sums of powers of derivatives (English). Real Anal. Exchange 13 (1) (1987/88), 180-182
• Łazarow, Ewa: The coarsest topology for $I$-approximately continuous functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 4, pp. 695-704
• Balcerzak, Marek; Łazarow, Ewa: On pointwise limits of sequences of $I$-continuous functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 4, pp. 705-712
• Antoni, Jozef: On the $A$-continuity of real function. II. (English). Mathematica Slovaca, vol. 36 (1986), issue 3, pp. 283-288
• Vaněček, Stanislav: On uniform approximation of bounded approximately continuous functions by differences of lower semicontinuous and approximately continuous ones. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 28-30
• Natkaniec, Tomasz: On points of qualitative semicontinuity. (English). Časopis pro pěstování matematiky, vol. 110 (1985), issue 4, pp. 337-342
• Jastrzebski, Jan; Strzesniewski, Mariusz: On the connectivity for Darboux functions. (English). Mathematica Slovaca, vol. 35 (1985), issue 2, pp. 137-140
• Poreda, W.; Wagner-Bojakowska, E.; Wilczyński, Władysław: Remarks on $I$-density and $I$-approximately continuous functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 3, pp. 553-563
• Mařík, Jan Transformation and multiplication of derivatives (English). Classical real analysis (Madison, Wis., 1982), 119–134, Contemp. Math. 42, Amer. Math. Soc., Providence, RI, 1985
• Mišík, Ladislav: On continuous interval functions. (English). Mathematica Slovaca, vol. 34 (1984), issue 2, pp. 141-154
• Mařík, Jan Multipliers of nonnegative derivatives (English). Real Anal. Exchange 9 (1) (1983/84), 258–272
• Snoha, Ľubomír: On connectivity points. (English). Mathematica Slovaca, vol. 33 (1983), issue 1, pp. 59-67
• Mařík, Jan; Weil, Clifford E. Products of powers of nonnegative derivatives (English). Trans. Amer. Math. Soc. 276 (1) (1983), 361–373
• Mařík, Jan Some properties of multipliers of summable derivatives (English). Real Anal. Exchange 9 (1) (1983/84), 251–257
• Brunner, Norbert: Relative Differenzeneigenschaft. (German) [Relative difference property]. Časopis pro pěstování matematiky, vol. 107 (1982), issue 3, pp. 241-243
• Grande, Zbigniew; Topolewska, Maria: Sur les fonctions vectorielles approximativement continues. (French) [On the vector functions approximatively continuous]. Časopis pro pěstování matematiky, vol. 107 (1982), issue 4, pp. 333-340
• Czajka-Zgirska, Marta; Lipiński, Jan S.: On the continuity for connected functions. (English). Mathematica Slovaca, vol. 31 (1981), issue 4, pp. 341-345
• Mařík, Jan; Weil, Clifford E. Products of derivatives and approximate continuity (English). Proceedings of the Real Analysis Summer Symposium (Syracuse, N.Y., 1981), Real Anal. Exchange 1, 54–57
• Malý, Jan: A note on separation of sets by approximately continuous functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 2, pp. 207-212
• Farková, Jana: On generalized Darboux and connectivity functions. (English). Mathematica Slovaca, vol. 29 (1979), issue 1, pp. 63-68
• Šalát, Tibor: On nowhere density of the class of somewhat continuous functions in $M(X)$. (English). Časopis pro pěstování matematiky, vol. 103 (1978), issue 2, pp. 157-158
• Farková, Jana: A class of subadditively continuous real functions. (English). Mathematica Slovaca, vol. 27 (1977), issue 3, pp. 221-229
• Lukeš, Jaroslav: The Lusin-Menchoff property of fine topologies. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 3, pp. 515-530
• Lukeš, Jaroslav; Zajíček, Luděk: When finely continuous functions are of the first class of Baire. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 647-657
• Himmelberg, Charles J.; Van Vleck, F. S.: An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions. (English). Mathematica Slovaca, vol. 26 (1976), issue 1, pp. 47-52
• Jones, F. Burton: Connected simple graphs and a selection problem. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 2, pp. 300-301
• Neubrunnová, Anna: On quasicontinuous and cliquish functions. (English). Časopis pro pěstování matematiky, vol. 99 (1974), issue 2, pp. 109-114
• Šalát, Tibor: Some generalizations of the notion of continuity and Denjoy property of functions. (English). Časopis pro pěstování matematiky, vol. 99 (1974), issue 4, pp. 380-385
• Smítal, Jaroslav: Characteristic Types of Convergence for Certain Classes of Darboux-Baire 1 Functions. (English). Matematický časopis, vol. 23 (1973), issue 2, pp. 115-118
• Farková, Jana: Note on a Theorem of Kuratowski-Sierpiński. (English). Matematický časopis, vol. 23 (1973), issue 2, pp. 179-183
• Demuth, Osvald: О пpeдcтавимocти paвномерно непрерывных конструктивных функций. (Russian) [The representability of uniformly continuous constructive functions]. Commentationes Mathematicae Universitatis Carolinae, vol. 14 (1973), issue 1, pp. 7-25
• Bruckner, A. M.; Ceder, J.: On jumping functions by connected sets. (English). Czechoslovak Mathematical Journal, vol. 22 (1972), issue 3, pp. 435-448
• Smítal, Jaroslav: Some Characterizations of the Darboux Continuity of Real Functions. (English). Matematický časopis, vol. 22 (1972), issue 1, pp. 59-70
• Stach, Květomil: Eine Äquivalenzrelation in der Kategorie der Phasenfunktionen. (German) [Equivalence relation in the category of phase functions]. Archivum Mathematicum, vol. 7 (1971), issue 4, pp. 159-166
• Farková, Jana: About the Maximum and the Minimum of Darboux Functions. (English). Matematický časopis, vol. 21 (1971), issue 2, pp. 110-116
• Preiss, David: A note on symmetrically continuous functions. (English). Časopis pro pěstování matematiky, vol. 96 (1971), issue 3, pp. 262-264
• Demuth, Osvald: О суперпозициях абсолютно непрерывных конструктивных функций. (Russian) [The superpositions of absolutely continuous constructive functions]. Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 3, pp. 423-451
• Farková, Jana: Über Darbouxsche Funktionen. (German). Matematický časopis, vol. 20 (1970), issue 3, pp. 185-194
• Demuth, Osvald: О представимости конструктивных функций слабо ограниченной вариации. (Russian) [The representability of constructive functions of weakly bounded variation]. Commentationes Mathematicae Universitatis Carolinae, vol. 11 (1970), issue 3, pp. 421-434
• Rehermann, C. Silva: Sur une généralisation de la propriété de Darboux. (French) [On a generalization of the Darboux property]. In: General Topology and its Relations to Modern Analysis and Algebra. Proceedings of the second Prague topological symposium, 1966. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1967. pp. 330-331
• Jarník, Vojtěch Sur une propriété des fonctions continues (French) [On a property of continuous functions]. Čas. pro pěst.mat. a fys. 65 (1936), pp. 53--63
• Jarník, Vojtěch: Sur une propriété des fonctions continues. (French) [On a property of continuous functions]. Časopis pro pěstování matematiky a fysiky, vol. 65 (1936), issue 2, pp. 53-63
• Jarník, Vojtěch O jedné třídě funkcí spojitých (Czech) [On a class of continuous functions]. Čas. pro pěst. mat. a fys. 63 (1934), pp. 135--146
• Jarník, Vojtěch: O jedné třídě funkcí spojitých. (Czech) [On a class of continuous functions]. Časopis pro pěstování matematiky a fysiky, vol. 63 (1934), issue 6, pp. 135-146