On the family of functions with a closure of its graph of measure zero

Ewa Strońska

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 4, page 459-470
  • ISSN: 0139-9918

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Strońska, Ewa. "On the family of functions with a closure of its graph of measure zero." Mathematica Slovaca 43.4 (1993): 459-470. <http://eudml.org/doc/31790>.

@article{Strońska1993,
author = {Strońska, Ewa},
journal = {Mathematica Slovaca},
keywords = {Baire systems; pointwise; uniform; transfinite; convergence; Darboux functions; closure of the graphs of measure zero},
language = {eng},
number = {4},
pages = {459-470},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the family of functions with a closure of its graph of measure zero},
url = {http://eudml.org/doc/31790},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Strońska, Ewa
TI - On the family of functions with a closure of its graph of measure zero
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 4
SP - 459
EP - 470
LA - eng
KW - Baire systems; pointwise; uniform; transfinite; convergence; Darboux functions; closure of the graphs of measure zero
UR - http://eudml.org/doc/31790
ER -

References

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  2. BRUCKNER A. M., CEDER J. G., KESTON R., Representations and approximations by Darboux functions in the first class of Baire, Riv. Mat. Pura Appl. 13 (1968), 1247-1254. (1968) Zbl0174.09401MR0243008
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  7. KOSTYRKO P., On convergence of transfinite sequences, Mat. Časopis 21 (1971), 233-239. (1971) Zbl0224.40001MR0301686
  8. KUCZMA M., An Introduction to the Theory of Functional Equations and Inequalities, PWN, Warszawa-Krakow-Katowice, 1985. (1985) Zbl0555.39004MR0788497
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  10. LOJASIEWICZ S., Introduction to the Theory of Real Functions, (Polish), PWN, Warszawa, 1973. (1973) MR0432826
  11. MAULDIN R. P., σ-ideals and related Baire systems, Fund. Math. 71 (1971), 171-177. (1971) Zbl0225.46044MR0293027
  12. OXTOBY J. C., Measure and Category, Springer Verlag, New York-Heidelberg-Berlin, 1971. (1971) Zbl0217.09201MR0584443
  13. ŠALÁT T., On transfinite sequence of B measurable functions, Fund. Math. 78 (1973), 157-162. (1973) MR0326648
  14. SIERPINSKI W., Sur les suites transfinies convergentes functions de Baire, Fund. Math. 1 (1920), 132-141.. (1920) MR0055401
  15. SIERPINSKI W., Sur une propriete des ensembles Fσ lineares, Fund. Math. 14 (1929), 216-220. (1929) 
  16. SMÍTAL J., On the problem concerning uniform limits of Darboux functions, Colloq. Math., 23 (1971), 115-116. (1971) MR0301148

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