On almost quasicontinuity

Anna Neubrunnová; Tibor Šalát

Mathematica Bohemica (1992)

  • Volume: 117, Issue: 2, page 197-205
  • ISSN: 0862-7959

Abstract

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The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).

How to cite

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Neubrunnová, Anna, and Šalát, Tibor. "On almost quasicontinuity." Mathematica Bohemica 117.2 (1992): 197-205. <http://eudml.org/doc/29055>.

@article{Neubrunnová1992,
abstract = {The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).},
author = {Neubrunnová, Anna, Šalát, Tibor},
journal = {Mathematica Bohemica},
keywords = {Dirichlet function; almost continuity; cliquish function; residual set; transfinite sequence; almost quasicontinuity; types of convergence of sequences of almost quasicontinuous functions; quasicontinuity; almost quasicontinuity; Dirichlet function; almost continuity; cliquish function; residual set; transfinite sequence; almost quasicontinuity; types of convergence of sequences of almost quasicontinuous functions},
language = {eng},
number = {2},
pages = {197-205},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On almost quasicontinuity},
url = {http://eudml.org/doc/29055},
volume = {117},
year = {1992},
}

TY - JOUR
AU - Neubrunnová, Anna
AU - Šalát, Tibor
TI - On almost quasicontinuity
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 2
SP - 197
EP - 205
AB - The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).
LA - eng
KW - Dirichlet function; almost continuity; cliquish function; residual set; transfinite sequence; almost quasicontinuity; types of convergence of sequences of almost quasicontinuous functions; quasicontinuity; almost quasicontinuity; Dirichlet function; almost continuity; cliquish function; residual set; transfinite sequence; almost quasicontinuity; types of convergence of sequences of almost quasicontinuous functions
UR - http://eudml.org/doc/29055
ER -

References

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  1. Borsík J., Doboš J., 10.2307/44153699, Real Analysis Exchange 16 (1990-91), 292-305. (1990) MR1087494DOI10.2307/44153699
  2. Doboš J., Some generalizations of the notion of continuity and quasi-uniform conveгgence, Čas. pěst. mat. 106 (1981), 431-434. (1981) MR0637824
  3. Doboš J., Šalát T., Cliquish functions, Riemann integrable functions and quasiuniform convergence, Acta Math. Univ. Comen. XL-XLl (1982), 219-223. (1982) MR0686978
  4. Fudali Lukasz A., On cliquish functions on pгoduct spaces, Math. Slovaca 33 (1983), 53-58. (1983) MR0689278
  5. Husain T., Almost continuous mappings, Prace matem. X (1966), 1-7. (1966) Zbl0138.17601MR0220256
  6. Kempisty S., 10.4064/fm-19-1-184-197, Fund. Math. XIX (1932), 184-197. (1932) DOI10.4064/fm-19-1-184-197
  7. Kuratowski K., Mostowski A., Set Theoгy, PWN, Warszava, 1976. (1976) 
  8. Lipinski J. S., Šalát T., On the points of quasicontinuity and cliquishness of functions, Czech. Math. J. 21 (1971), 484-489. (1971) Zbl0219.26004MR0287517
  9. Marcus S., Sur les fonctions quasi-continues au sens de S. Kempisty, Coll. Math. VIII (1961), 47-53. (1961) MR0125915
  10. Matejdes M., Applications of multifunctions in the theoгy of differentiation and integration, Thesis (1988). (In Slovak.) (1988) 
  11. Neubrunová A., On quasicontinuous and cliquish functions, Čas. pěst. mat. 99 (1974), 109-114. (1974) MR0360948
  12. Neubrunová A., On transfinite sequences of certain types of functions, Acta F.R.N. Univ. Comen. 30 (1975), 121-125. (1975) MR0385776
  13. Sikorski R., Real Functions I, PWN, Warszava, 1958. (In Polish.) (1958) MR0091312
  14. Šalát T., Some generalizations of the notion of continuity and Denjoy propeгty of functions, Čas. pěst. mat. 99 (1974), 380-385. (1974) MR0360947
  15. Thielman H., 10.1080/00029890.1953.11988260, Amer. Math. Monthly 60 (1953), 156-161. (1953) Zbl0051.13801MR0052495DOI10.1080/00029890.1953.11988260
  16. Wilhelm M., Nearly lower semicontinuity and its applications, Pгoc. Fifth Praque Topol. Symp. (1981), 692-698. (1981) MR0698476

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