Quasicontinuity and some classes of Baire 1 functions

Pavel Kostyrko

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 3, page 601-609
  • ISSN: 0010-2628

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Kostyrko, Pavel. "Quasicontinuity and some classes of Baire 1 functions." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 601-609. <http://eudml.org/doc/17672>.

@article{Kostyrko1988,
author = {Kostyrko, Pavel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {approximately continuous function; Zahorski classes; symmetric derivative; set of quasi-continuity points; Lebesgue measurable function; Baire 1 functions; typical function},
language = {eng},
number = {3},
pages = {601-609},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Quasicontinuity and some classes of Baire 1 functions},
url = {http://eudml.org/doc/17672},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Kostyrko, Pavel
TI - Quasicontinuity and some classes of Baire 1 functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 601
EP - 609
LA - eng
KW - approximately continuous function; Zahorski classes; symmetric derivative; set of quasi-continuity points; Lebesgue measurable function; Baire 1 functions; typical function
UR - http://eudml.org/doc/17672
ER -

References

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  2. BRUCKNER A. M., PETRUSKA G., Some typical results on bounded Baire 1 functions, Acta Math. Hung. 43 (1984), 325-333. (1984) Zbl0542.26004MR0733864
  3. BRUCKNER A. M., Differentiation of Real Functions, Springer-Verlag, Berlin Heidelberg New York, 1978. (1978) Zbl0382.26002MR0507448
  4. CEDER J. G., PETRUSKA G., Most Darboux Baire 1 functions map big sets onto small, Acta Math. Hung. 41 (1983), 37-46. (1983) Zbl0525.26004MR0704521
  5. CEDER J. G., PEARSON T. L., On typical bounded Darboux Baire one functions, Acta Math. Hung. 37 (1981), 339-348. (1981) Zbl0426.26003MR0619883
  6. CEDER J. G., PEARSON T. L., A survey of Darboux Baire 1 functions, Real Anal. Exchange Vol. 9 (1983-84), 179-194. (1983) MR0742783
  7. EVANS M. J., HUMKE P. D., A typical property of Baire 1 Darboux functions, Proc. Amer. Math. Soc. 98 (1986) 441-447. (1986) Zbl0608.26004MR0857937
  8. KEMPISTY S., Sur les fonctions quasicontinues, Fund. Math. XIX (1932), 184-197. (1932) Zbl0005.19802
  9. KOSTYRKO P., Symmetric derivatives are uniformly closed, Revue Roumaine de Math, pures et appl. (to appear) Zbl0759.26007MR1031231
  10. KOSTYRKO P., ŠALÁT T., On the structure of some function space, Real Anal. Exchange Vol. 10 (1984-85), 188-193. (1984) MR0795616
  11. LARSON L., The symmetric derivative, Trans. Amer. Math. Soc. 277 (1983), 589-599. (1983) Zbl0515.26004MR0694378
  12. LIPIŃSKI J. S., ŠALÁT T., On the points of quasicontinuity and cliquishness of functions, Czechoslovak Math. J. 21 (96) (1971), 484-489. (1971) MR0287517
  13. MARCUS S., Sur les fonctions quasicontinues au sens de M. Kempisty, Coll. Math. VIII (1961), 47-53. (1961) MR0125915
  14. MUSTAFA I., On residual subsets of Darboux Baire class 1 functions, Real Anal. Exchange Vol. 9 (1983-84), 394-395. (1983) MR0766067
  15. RINNE D, On typical bounded functions in the Zahorski classes, Real Anal. Exchange Vol. 9 (1983-84), 483-494. (1983) MR0766074
  16. RINNE D., On typical bounded functions in the Zahorski classes II, Rea-1 Anal. Exchange Vol. 10 (1984-85), 155-162. (1984) MR0795613
  17. THIEDIAN H. P., Types of functions, Amer. Math. Monthly 60 (1953), 156-161. (1953) MR0052495
  18. ZAHORSKI Z., Sur la première derivés, Trans. Amer. Math. Soc. 69 (1950), 1-54. (1950) MR0037338

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