# Points of continuity and quasicontinuity

Open Mathematics (2010)

- Volume: 8, Issue: 1, page 179-190
- ISSN: 2391-5455

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topJán Borsík. "Points of continuity and quasicontinuity." Open Mathematics 8.1 (2010): 179-190. <http://eudml.org/doc/269140>.

@article{JánBorsík2010,

abstract = {Let C(f), Q(f), E(f) and A(f) be the sets of all continuity, quasicontinuity, upper and lower quasicontinuity and cliquishness points of a real function f: X → ℝ, respectively. The triplets (C(f),Q(f),A(f)), (C(f),E(f),A(f) and (Q(f),E(f),A(f)are characterized for functions defined on Baire metric spaces without isolated points.},

author = {Ján Borsík},

journal = {Open Mathematics},

keywords = {Continuity; Quasi-continuity; Cliquishness; Upper and lower quasicontinuity; continuity; quasi-continuity; cliquishness; upper and lower quasi-continuity},

language = {eng},

number = {1},

pages = {179-190},

title = {Points of continuity and quasicontinuity},

url = {http://eudml.org/doc/269140},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Ján Borsík

TI - Points of continuity and quasicontinuity

JO - Open Mathematics

PY - 2010

VL - 8

IS - 1

SP - 179

EP - 190

AB - Let C(f), Q(f), E(f) and A(f) be the sets of all continuity, quasicontinuity, upper and lower quasicontinuity and cliquishness points of a real function f: X → ℝ, respectively. The triplets (C(f),Q(f),A(f)), (C(f),E(f),A(f) and (Q(f),E(f),A(f)are characterized for functions defined on Baire metric spaces without isolated points.

LA - eng

KW - Continuity; Quasi-continuity; Cliquishness; Upper and lower quasicontinuity; continuity; quasi-continuity; cliquishness; upper and lower quasi-continuity

UR - http://eudml.org/doc/269140

ER -

## References

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- [2] Borsík J., Points of continuity, quasicontinuity, cliquishness and upper and lower quasicontinuity, Real Anal. Exchange, 2007/2008, 33, 339–350 Zbl1162.54003
- [3] Borsík J., Sums of quasicontinuous functions defined on pseudometrizable spaces, Real Anal. Exchange, 1996/97, 22, 328–337 Zbl0879.54014
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- [5] Lipinski J.S., Šalát T., On the points of quasicontinuity and cliquishness of functions, Czechoslovak Math. J., 1971, 21, 484–489 Zbl0219.26004
- [6] Neubrunn T., Quasi-continuity, Real Anal. Exchange, 1988/89, 14, 259–306
- [7] Neubrunnová A., On quasicontinuous and cliquishfunctions, Časopis Pěst. Mat., 1974, 99, 109–114 Zbl0292.26005
- [8] Stronska E., Maximal families for the class of upper and lower semi-quasicontinuous functions, Real Anal. Exchange, 2001/2002, 27, 599–608 Zbl1068.26009

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