Title:
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On almost quasicontinuous functions (English) |
Author:
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Borsík, Ján |
Language:
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English |
Journal:
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Mathematica Bohemica |
ISSN:
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0862-7959 (print) |
ISSN:
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2464-7136 (online) |
Volume:
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118 |
Issue:
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3 |
Year:
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1993 |
Pages:
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241-248 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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A function $f:X\rightarrow Y$ is said to be almost quasicontinuous at $x\in X$ if $x\in C\left| Int C\right|f^{-1}(V)$ for each neighbourhood $V$ of $f(x)$. Some properties of these functions are investigated. (English) |
Keyword:
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separate almost continuity |
Keyword:
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almost quasicontinuous functions |
Keyword:
|
almost quasicontinuity |
Keyword:
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$\beta$-continuity |
Keyword:
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separate almost quasicontinuity |
MSC:
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54C08 |
MSC:
|
54C10 |
MSC:
|
54D99 |
idZBL:
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Zbl 0835.54011 |
idMR:
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MR1239118 |
DOI:
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10.21136/MB.1993.125933 |
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Date available:
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2009-09-24T20:59:30Z |
Last updated:
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2020-07-29 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/125933 |
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Reference:
|
[1] M. E. Abd El-Monsef S. N. El-Deeb R. A. Mahmoud: $\beta$-open sets and $\beta$-continuous mappings.Bull. Fac. Sci. Assiut Univ. 12 (1983), 77-90. MR 0828081 |
Reference:
|
[2] D. Andrijevic: Semi-preopen sets.Mat. Vesnik 38 (1986), 24-32. Zbl 0604.54002 |
Reference:
|
[3] J. Borsík J. Doboš: On decomposition of quasicontinuity.Real Anal. Exchange 16 (1990-91), 292-305. MR 1087494, 10.2307/44153699 |
Reference:
|
[4] A. M. Bruckner: Differentiation of real functions.Springer-Verlag, Berlin-Heidelberg-New York, 1978. Zbl 0382.26002, MR 0507448 |
Reference:
|
[5] Z. Frolík: Remarks concerning the invariance of Baire spaces under mappings.Czechoslovak Math. J. 11 (1961), 381-385. MR 0133098 |
Reference:
|
[6] K. R. Gentry H. B. Hoyle: Somewhat continuous functions.Czechoslovak Math. J. 21 (1971), 5-12. MR 0278269 |
Reference:
|
[7] T. Husain: Almost continuous mappings.Comment. Math 10 (1966), 1-7. Zbl 0138.17601, MR 0220256 |
Reference:
|
[8] N. Levine: Semi-open sets and semi-continuity in topological spaces.Amer. Math. Monthly 70 (1963), 36-41. Zbl 0113.16304, MR 0166752, 10.1080/00029890.1963.11990039 |
Reference:
|
[9] S. Marcus: Sur les fonctions quasicontinues au sens de S. Kempisty.Colloq. Math. 8 (1961), 47-53. Zbl 0099.04501, MR 0125915, 10.4064/cm-8-1-47-53 |
Reference:
|
[10] A. S. Mashour M. E. Abd Ei-Monsef S. N. El-Deeb: On precontinuous and weak precontinuous mappings.Pгoc. Math. Phys. Soc. Egypt 53 (1982), 47-53. MR 0830896 |
Reference:
|
[11] O. Náther T. Neubrunn: On characterization of quasicontinuous multifunctions.Časopis Pěst. mat. 107 (1982), 294-300. MR 0673055 |
Reference:
|
[12] T. Neubrunn: A generalized continuity and product spaces.Math. Slovaca 26 (1976), 97-99. Zbl 0318.54008, MR 0436064 |
Reference:
|
[13] T. Neubrunn: Generalized continuity and separate continuity.Math. Slovaca 27 (1977), 307-314. Zbl 0371.54022, MR 0536149 |
Reference:
|
[14] A. Neubrunnová: On certain generalizations of the notion of continuity.Mat. časopis 23 (1973), 374-380. MR 0339051 |
Reference:
|
[15] A. Neubrunnová T. Šalát: On almost quasicontinuity.Math. Bohemica 117 (1992), 197-205. MR 1165897 |
Reference:
|
[16] T. Noiri V. Popa: Weak forms of faint continuity.Bull. Math. Soc. Sci. Math. Roumanie З4 (1990), 263-270. MR 1087163 |
Reference:
|
[17] J. C. Oxtoby: Cartesian product of Baire spaces.Fund. Math. 49 (1961), 156-170. MR 0140638 |
Reference:
|
[18] Z. Piotrowski: A survey of results concerning generalized continuity in topological spaces.Acta Math. Univ. Comenian. 52-53 (1987), 91-110. MR 0989626 |
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