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26A21 Classification of real functions; Baire classification of sets and functions (84 articles)

• 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
• Fenecios, Jonald P.; Cabral, Emmanuel A.; Racca, Abraham P.: Baire one functions and their sets of discontinuity. (English). Mathematica Bohemica, vol. 141 (2016), issue 1, pp. 109-114
• Ludvík, Pavel; Spurný, Jiří: Baire classes of complex $L_1$-preduals. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 3, pp. 659-676
• Ball, Richard N.; Hager, Anthony W.: Frame monomorphisms and a feature of the $l$-group of Baire functions on a topological space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 2, pp. 141-157
• 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
• Popvassilev, Strashimir G.: Base-base paracompactness and subsets of the Sorgenfrey line. (English). Mathematica Bohemica, vol. 137 (2012), issue 4, pp. 395-401
• Evans, Michael J.; Humke, Paul D.: Two classes of Darboux-like, Baire one functions of two variables. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 2, pp. 549-569
• Kalenda, Ondřej F. K.: Baire-one mappings contained in a usco map. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 135-145
• Spurný, Jiří: Banach space valued mappings of the first Baire class contained in usco mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 2, pp. 269-272
• Varayu, Boonpogkrong; Chew, Tuan Seng: The Henstock-Kurzweil approach to Young integrals with integrators in ${\rm BV}\sb \phi$. (English). Mathematica Bohemica, vol. 131 (2006), issue 3, pp. 233-260
• Maliszewski, Aleksander: Maximums of Darboux Baire one functions. (English). Mathematica Slovaca, vol. 56 (2006), issue 4, pp. 427-431
• Mařík, Jan; Weil, Clifford E. Multipliers of spaces of derivatives (English). Math. Bohem. 129 (2) (2004), 181–217
• Mařík, Jan; Weil, Clifford E.: Multipliers of spaces of derivatives. (English). Mathematica Bohemica, vol. 129 (2004), issue 2, pp. 181-217
• Milewski, P.; Pol, R.: On a theorem of Holický and Zelený concerning Borel maps without $\sigma$-compact fibers. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 535-543
• Hong, Dug Hun: $T$-equivalences generated by shape function on the real line. (English). Kybernetika, vol. 39 (2003), issue 3, pp. [281]-288
• 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
• Svetic, R. E.: The Laplace derivative. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 2, pp. 331-343
• Spurný, Jiří: On the Dirichlet problem for functions of the first Baire class. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 4, pp. 721-728
• Fejzić, Hajrudin; Rinne, Dan; Weil, Clifford: Extending $n$ times differentiable functions of several variables. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 825-830
• Maliszewski, Aleksander: Maximums of Darboux quasi-continuous functions. (English). Mathematica Slovaca, vol. 49 (1999), issue 3, pp. 381-386
• Strońska, Ewa: On Mauldin's classification of real functions. (English). Mathematica Slovaca, vol. 49 (1999), issue 3, pp. 287-293
• Karakuş, Yusuf: Best simultaneous $L_p$ approximations. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 3, pp. 457-463
• Idczak, Dariusz: Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 1, pp. 145-171
• Künzi, Hans-Peter A.; Wajch, Eliza: On $\sigma$-discrete Borel mappings via quasi-metrics. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 3, pp. 439-455
• Ganguly, D. K.; Majumdar, M.: Some results on projection of planar sets. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 815-820
• Tóth, János T.; Zsilinszky, László: On a typical property of functions. (English). Mathematica Slovaca, vol. 45 (1995), issue 2, pp. 121-127
• Vojtáš, P.: Amoeba relation and Galois-Tukey connections. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 35 (1994), issue 2, pp. 67-74
• Ciesielski, Krzysztof; Larson, Lee: Analytic functions are $\Cal I$-density continuous. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 645-652
• Filipczak, Tomasz: A relationship between intersection conditions and porosity conditions for local systems. (English). Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 95-98
• Nájares, J.; Zajíček, L.: A $\sigma$-porous set need not be $\sigma$-bilaterally porous. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 697-703
• Evans, Michael J.; Humke, Paul D.; Saxe, Karen: Symmetric porosity of symmetric Cantor sets. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 251-264
• 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 Norms and derivatives (English). Real Anal. Exchange 18 (2) (1992/93), 343–351
• Matejdes, Milan: The projective properties of the extreme path derivatives. (English). Mathematica Slovaca, vol. 42 (1992), issue 4, pp. 451-464
• Filipczak, Malgorzata: Two theorems on measurable sets and sets having the Baire property. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 4, pp. 631-634
• Mařík, Jan Characteristic functions and products of derivatives (English). Real Anal. Exchange 16 (1) (1990/91), 245–254
• Kostyrko, Pavel: Quasicontinuity and some classes of Baire 1 functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 601-609
• Mařík, Jan Characteristic functions that are products of derivatives (English). Real Anal. Exchange 12 (1) (1986/87), 67-68
• 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
• Grzegorek, E.: Always of the first category sets (II). (English). In: Frolík, Z., Souček, V. and Vinárek, J. (eds.): Proceedings of the 13th Winter School on Abstract Analysis. Section of Analysis. Circolo Matematico di Palermo, Palermo, 1985. pp. [43]-48
• Bruckner, A. M.; Mařík, Jan; Weil, C. E. Baire one, null functions (English). Classical real analysis (Madison, Wis., 1982), 29–41, Contemp. Math. 42, Amer. Math. Soc., Providence, RI, 1985
• Aversa, Vincenzo; Laczkovich, M.; Preiss, David: Extension of differentiable functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 3, pp. 597-609
• Balcerzak, Marek: A generalization of the theorem of Mauldin. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 2, pp. 209-220
• Šalát, Tibor: On exponents of convergence of subsequences. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 3, pp. 362-370
• Wilczyński, Władysław: Remarks on density topology and its category analogue. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [145]-153
• Snoha, Ľubomír: On connectivity points. (English). Mathematica Slovaca, vol. 33 (1983), issue 1, pp. 59-67
• Grande, Eulalia: Sur un problème concernant les fonctions quasicontinues. (French). Mathematica Slovaca, vol. 32 (1982), issue 3, pp. 309-312
• Zajíček, Luděk: On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 549-560
• Czajka-Zgirska, Marta; Lipiński, Jan S.: On the continuity for connected functions. (English). Mathematica Slovaca, vol. 31 (1981), issue 4, pp. 341-345
• Agronsky, S. J.; Biskner, R.; Bruckner, A. M.; Mařík, Jan Representations of functions by derivatives (English). Trans. Amer. Math. Soc. 263 (2) (1981), 493–500
• Popovičová, Marta: Local characterizations of Darboux Baire 1 functions. (English). Mathematica Slovaca, vol. 30 (1980), issue 4, pp. 345-350
• Demuth, Osvald: О исевдодиференцируемости конструктивных функций на конструктивных действительных числах. (Russian) [Pseudodifferentiability of constructive functions on constructive real numbers]. Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 3, pp. 489-505
• Grande, Zbigniew: Sur la measurabilité des fonctions de plusieurs variables. (French). Mathematica Slovaca, vol. 28 (1978), issue 1, pp. 113-118
• Mišík, Ladislav: Halbborelsche Funktionen und extreme Ableitungen. (German). Mathematica Slovaca, vol. 27 (1977), issue 4, pp. 409-421
• Lukeš, Jaroslav; Zajíček, Luděk: The insertion of $G_\delta$ sets and fine topologies. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 1, pp. 101-104
• 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
• Demuth, Osvald: Об одном конструктивном аналоге функций $n$-ого класса Бэра. (Russian) [A constructive analogue of the functions of the $n$-th Baire class]. Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 2, pp. 231-245
• Grande, Zbigniew: Quelques remarques sur les classes de Baire des fonctions de deux variables. (French). Mathematica Slovaca, vol. 26 (1976), issue 3, pp. 241-246
• Preiss, David: Completely additive disjoint system of Baire sets is of bounded class. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 2, pp. 341-344
• Davies, Roy O.: A Baire function not countably decomposable into continuous functions. (English). Časopis pro pěstování matematiky, vol. 98 (1973), issue 4, pp. 398-399
• 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
• Frolík, Zdeněk: Hyper-extensions of $\sigma$-algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 14 (1973), issue 2, pp. 361-375
• Farková, Jana: Note on a Theorem of Kuratowski-Sierpiński. (English). Matematický časopis, vol. 23 (1973), issue 2, pp. 179-183
• Švarc, Rudolf: On the range of values of the sum of a continuous and a Darboux function. (English). Časopis pro pěstování matematiky, vol. 98 (1973), issue 2, pp. 178-180
• Katětov, Miroslav: Baire classification and infinite perceptrons. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 2, pp. 373-396
• Mišík, Ladislav: Notes on an approximate derivative. (English). Matematický časopis, vol. 22 (1972), issue 2, pp. 108-114
• Lipiński, Jan Stanisław; Šalát, Tibor: On the Generalized Banach Indicatrix. (English). Matematický časopis, vol. 22 (1972), issue 3, pp. 219-225
• Farková, Jana: About the Maximum and the Minimum of Darboux Functions. (English). Matematický časopis, vol. 21 (1971), issue 2, pp. 110-116
• Kratochvíl, P.: On a convergence property of set algebras. (English). In: Novák, J. (ed.): General Topology and its Relations to Modern Analysis and Algebra. Proceedings of the Third Prague Topological Symposium, 1971. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1972. pp. 253-255
• Riečanová, Zdena: On an Abstract Formulation of Regularity. (English). Matematický časopis, vol. 21 (1971), issue 2, pp. 117-123
• Smítal, Jaroslav: On approximation of Baire functions by Darboux functions. (English). Czechoslovak Mathematical Journal, vol. 21 (1971), issue 3, pp. 418-423
• Katětov, M.: On descriptive classification of functions. (English). In: Novák, J. (ed.): General Topology and its Relations to Modern Analysis and Algebra. Proceedings of the Third Prague Topological Symposium, 1971. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1972. pp. 235-242
• Šalát, Tibor: Remarks on Denjoy property and $\cal M'_2$ property of real functions. (English). Časopis pro pěstování matematiky, vol. 96 (1971), issue 4, pp. 391-397
• Farková, Jana: Über Darbouxsche Funktionen. (German). Matematický časopis, vol. 20 (1970), issue 3, pp. 185-194
• Kostyrko, Pavel: Indicatrix of Banach and a Space of Continuous Functions. (English). Matematický časopis, vol. 19 (1969), issue 4, pp. 336-339
• Mišík, Ladislav: A note concerning a paper by L. E. Snyder. (English). Matematický časopis, vol. 19 (1969), issue 3, pp. 188-191
• Jarník, Vojtěch O funkcích první třídy Baireovy (Czech) [On Baire class one functions]. Rozpravy Čes. akademie, II. tř., 35 (1926), No. 2, 13 p.
• Jarník, Vojtěch Sur les fonctions de la premiére classe de Baire (French). Bull. internat. de l’Académie des sciences de Bohême 1926, 11 p.