Geodesic
Sums of quasicontinuous functions
Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 313-319

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions.
It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions.
DOI : 10.21136/MB.1993.125925
Classification : 54C08, 54C30, 54D99
Keywords: cliquish function; quasicontinuous functions 
Borsík, Ján. Sums of quasicontinuous functions. Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 313-319. doi: 10.21136/MB.1993.125925
@article{10_21136_MB_1993_125925,
     author = {Bors{\'\i}k, J\'an},
     title = {Sums of quasicontinuous functions},
     journal = {Mathematica Bohemica},
     pages = {313--319},
     year = {1993},
     volume = {118},
     number = {3},
     doi = {10.21136/MB.1993.125925},
     mrnumber = {1239125},
     zbl = {0839.54016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125925/}
}
TY  - JOUR
AU  - Borsík, Ján
TI  - Sums of quasicontinuous functions
JO  - Mathematica Bohemica
PY  - 1993
SP  - 313
EP  - 319
VL  - 118
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125925/
DO  - 10.21136/MB.1993.125925
LA  - en
ID  - 10_21136_MB_1993_125925
ER  - 
%0 Journal Article
%A Borsík, Ján
%T Sums of quasicontinuous functions
%J Mathematica Bohemica
%D 1993
%P 313-319
%V 118
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125925/
%R 10.21136/MB.1993.125925
%G en
%F 10_21136_MB_1993_125925

[1] Doboš J., Šalát T.: Cliquish functions, Riemann integrable functions and quasi-uniform convergence. Acta Math. Univ. Comen. 40-41 (1982), 219-223. | MR | Zbl

[2] Grande Z.: Sur les fonctions cliquish. Časopis pěst. mat. 110 (1985), 225-236. | MR | Zbl

[3] Ҝelley J. L.: Geneгal Topology. New York, 1955.

[4] Lipinski J.S., Šalát T.: On the points of quasicontinuity and cliquishness of functions. Czechoslovak Math. J. 21 (1971), 484-489. | MR | Zbl

[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. | MR

[6] Stronska E.: On the group generated by quasicontinuous functions. Real Analysis Exchange 17 (1991-92), 579-589. | DOI | MR

Cité par Sources :