# Connectivity of diagonal products of Baire one functions

Fundamenta Mathematicae (1994)

- Volume: 146, Issue: 1, page 21-29
- ISSN: 0016-2736

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topMaliszewski, Aleksander. "Connectivity of diagonal products of Baire one functions." Fundamenta Mathematicae 146.1 (1994): 21-29. <http://eudml.org/doc/212049>.

@article{Maliszewski1994,

abstract = {We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.},

author = {Maliszewski, Aleksander},

journal = {Fundamenta Mathematicae},

keywords = {Darboux function; peripheral continuity; approximate continuity; derivative; Baire one function; diagonal product; Baire one functions; connected graph},

language = {eng},

number = {1},

pages = {21-29},

title = {Connectivity of diagonal products of Baire one functions},

url = {http://eudml.org/doc/212049},

volume = {146},

year = {1994},

}

TY - JOUR

AU - Maliszewski, Aleksander

TI - Connectivity of diagonal products of Baire one functions

JO - Fundamenta Mathematicae

PY - 1994

VL - 146

IS - 1

SP - 21

EP - 29

AB - We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.

LA - eng

KW - Darboux function; peripheral continuity; approximate continuity; derivative; Baire one function; diagonal product; Baire one functions; connected graph

UR - http://eudml.org/doc/212049

ER -

## References

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- [5] J. Lukeš, J. Malý and L. Zajíček, Fine Topology Methods in Real Analysis and Potential Theory, Lecture Notes in Math. 1189, Springer, Berlin, 1986. Zbl0607.31001
- [6] A. Maliszewski, Characteristic functions and products of bounded derivatives, Proc. Amer. Math. Soc., to appear. Zbl0833.26008
- [7] C. J. Neugebauer, On a paper by M. Iosifescu and S. Marcus, Canad. Math. Bull. 6 (1963), 367-371.
- [8] R. J. O'Malley, Approximately continuous functions which are continuous almost everywhere, Acta Math. Acad. Sci. Hungar. 33 (1979), 395-402. Zbl0425.26001
- [9] G. Petruska and M. Laczkovich, Baire 1 functions, approximately continuous functions and derivatives, ibid. 25 (1974), 189-212. Zbl0279.26003
- [10] Z. Zahorski, Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950), 1-54. Zbl0038.20602

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