On almost quasicontinuous functions

Ján Borsík

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 3, page 241-248
  • ISSN: 0862-7959

Abstract

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A function f : X → Y is said to be almost quasicontinuous at x ∈ X if x ∈ C I n t C f - 1 ( V ) for each neighbourhood V of f ( x ) . Some properties of these functions are investigated.

How to cite

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Borsík, Ján. "On almost quasicontinuous functions." Mathematica Bohemica 118.3 (1993): 241-248. <http://eudml.org/doc/29087>.

@article{Borsík1993,
abstract = {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.},
author = {Borsík, Ján},
journal = {Mathematica Bohemica},
keywords = {separate almost continuity; almost quasicontinuous functions; almost quasicontinuity; $\beta $-continuity; separate almost quasicontinuity; separate almost continuity; almost quasicontinuous functions},
language = {eng},
number = {3},
pages = {241-248},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On almost quasicontinuous functions},
url = {http://eudml.org/doc/29087},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Borsík, Ján
TI - On almost quasicontinuous functions
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 3
SP - 241
EP - 248
AB - 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.
LA - eng
KW - separate almost continuity; almost quasicontinuous functions; almost quasicontinuity; $\beta $-continuity; separate almost quasicontinuity; separate almost continuity; almost quasicontinuous functions
UR - http://eudml.org/doc/29087
ER -

References

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  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. (1982) MR0830896
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  12. T. Neubrunn, A generalized continuity and product spaces, Math. Slovaca 26 (1976), 97-99. (1976) Zbl0318.54008MR0436064
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  15. A. Neubrunnová T. Šalát, On almost quasicontinuity, Math. Bohemica 117 (1992), 197-205. (1992) MR1165897
  16. T. Noiri V. Popa, Weak forms of faint continuity, Bull. Math. Soc. Sci. Math. Roumanie З4 (1990), 263-270. (1990) MR1087163
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  18. Z. Piotrowski, A survey of results concerning generalized continuity in topological spaces, Acta Math. Univ. Comenian. 52-53 (1987), 91-110. (1987) MR0989626

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