Sums of quasicontinuous functions

Ján Borsík

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 3, page 313-319
  • ISSN: 0862-7959

Abstract

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It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions.

How to cite

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Borsík, Ján. "Sums of quasicontinuous functions." Mathematica Bohemica 118.3 (1993): 313-319. <http://eudml.org/doc/29079>.

@article{Borsík1993,
abstract = {It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions.},
author = {Borsík, Ján},
journal = {Mathematica Bohemica},
keywords = {cliquish function; quasicontinuous functions; cliquish function; quasicontinuous functions},
language = {eng},
number = {3},
pages = {313-319},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sums of quasicontinuous functions},
url = {http://eudml.org/doc/29079},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Borsík, Ján
TI - Sums of quasicontinuous functions
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 3
SP - 313
EP - 319
AB - It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions.
LA - eng
KW - cliquish function; quasicontinuous functions; cliquish function; quasicontinuous functions
UR - http://eudml.org/doc/29079
ER -

References

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  1. Doboš J., Šalát T., Cliquish functions, Riemann integrable functions and quasi-uniform convergence, Acta Math. Univ. Comen. 40-41 (1982), 219-223. (1982) Zbl0518.26005MR0686978
  2. Grande Z., Sur les fonctions cliquish, Časopis pěst. mat. 110 (1985), 225-236. (1985) Zbl0579.54009MR0808073
  3. Ҝelley J. L., Geneгal Topology, New York, 1955. (1955) 
  4. Lipinski J.S., Šalát T., On the points of quasicontinuity and cliquishness of functions, Czechoslovak Math. J. 21 (1971), 484-489. (1971) Zbl0219.26004MR0287517
  5. Stronska E., L’espace linéaire des fonctions cliquées sur R n est généré par les fonctions quasi-continues, Math. Slovaca 39 (1989), 155-164. (1989) MR1018257
  6. Stronska E., 10.2307/44153751, Real Analysis Exchange 17 (1991-92), 579-589. (1991) MR1171399DOI10.2307/44153751

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