| Title:
|
On almost quasicontinuity (English) |
| Author:
|
Neubrunová, A. |
| Author:
|
Šalát, Tibor |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
197-205 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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.). (English) |
| Keyword:
|
Dirichlet function |
| Keyword:
|
almost continuity |
| Keyword:
|
cliquish function |
| Keyword:
|
residual set |
| Keyword:
|
transfinite sequence |
| Keyword:
|
almost quasicontinuity |
| Keyword:
|
types of convergence of sequences of almost quasicontinuous functions |
| Keyword:
|
quasicontinuity |
| Keyword:
|
almost quasicontinuity |
| MSC:
|
26A15 |
| MSC:
|
54C05 |
| MSC:
|
54C08 |
| MSC:
|
54C30 |
| idZBL:
|
Zbl 0756.26005 |
| idMR:
|
MR1165897 |
| DOI:
|
10.21136/MB.1992.125901 |
| . |
| Date available:
|
2009-09-24T20:52:28Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125901 |
| . |
| Reference:
|
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| Reference:
|
[2] Doboš J.: Some generalizations of the notion of continuity and quasi-uniform conveгgence.Čas. pěst. mat. 106 (1981), 431-434. MR 0637824 |
| Reference:
|
[3] Doboš J., Šalát T.: Cliquish functions, Riemann integrable functions and quasiuniform convergence.Acta Math. Univ. Comen. XL-XLl (1982), 219-223. MR 0686978 |
| Reference:
|
[4] Fudali Lukasz A.: On cliquish functions on pгoduct spaces.Math. Slovaca 33 (1983), 53-58. MR 0689278 |
| Reference:
|
[5] Husain T.: Almost continuous mappings.Prace matem. X (1966), 1-7. Zbl 0138.17601, MR 0220256 |
| Reference:
|
[6] Kempisty S.: Sur les fonctions quasi-continues.Fund. Math. XIX (1932), 184-197. 10.4064/fm-19-1-184-197 |
| Reference:
|
[7] Kuratowski K., Mostowski A.: Set Theoгy.PWN, Warszava, 1976. |
| Reference:
|
[8] Lipinski J. S., Šalát T.: On the points of quasicontinuity and cliquishness of functions.Czech. Math. J. 21 (1971), 484-489. Zbl 0219.26004, MR 0287517 |
| Reference:
|
[9] Marcus S.: Sur les fonctions quasi-continues au sens de S. Kempisty.Coll. Math. VIII (1961), 47-53. MR 0125915 |
| Reference:
|
[10] Matejdes M.: Applications of multifunctions in the theoгy of differentiation and integration.Thesis (1988). (In Slovak.) |
| Reference:
|
[11] Neubrunová A.: On quasicontinuous and cliquish functions.Čas. pěst. mat. 99 (1974), 109-114. MR 0360948 |
| Reference:
|
[12] Neubrunová A.: On transfinite sequences of certain types of functions.Acta F.R.N. Univ. Comen. 30 (1975), 121-125. MR 0385776 |
| Reference:
|
[13] Sikorski R.: Real Functions I.PWN, Warszava, 1958. (In Polish.) MR 0091312 |
| Reference:
|
[14] Šalát T.: Some generalizations of the notion of continuity and Denjoy propeгty of functions.Čas. pěst. mat. 99 (1974), 380-385. MR 0360947 |
| Reference:
|
[15] Thielman H.: Types of functions.Amer. Math. Monthly 60 (1953), 156-161. Zbl 0051.13801, MR 0052495, 10.1080/00029890.1953.11988260 |
| Reference:
|
[16] Wilhelm M.: Nearly lower semicontinuity and its applications.Pгoc. Fifth Praque Topol. Symp. (1981), 692-698. MR 0698476 |
| . |
