Upper quasi continuous maps and quasi continuous selections

Milan Matejdes

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 2, page 517-525
  • ISSN: 0011-4642

Abstract

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The paper deals with the existence of a quasi continuous selection of a multifunction for which upper inverse image of any open set with compact complement contains a set of the form , where is open and , are from a given ideal. The methods are based on the properties of a minimal multifunction which is generated by a cluster process with respect to a system of subsets of the form .

How to cite

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Matejdes, Milan. "Upper quasi continuous maps and quasi continuous selections." Czechoslovak Mathematical Journal 60.2 (2010): 517-525. <http://eudml.org/doc/38024>.

@article{Matejdes2010,
abstract = {The paper deals with the existence of a quasi continuous selection of a multifunction for which upper inverse image of any open set with compact complement contains a set of the form $(G\setminus I)\cup J$, where $G$ is open and $I$, $J$ are from a given ideal. The methods are based on the properties of a minimal multifunction which is generated by a cluster process with respect to a system of subsets of the form $(G\setminus I)\cup J$.},
author = {Matejdes, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {selection; quasi continuity; minimal usco multifunction; cluster point; generalized quasi continuity; selection; quasi continuity; minimal usco multifunction; cluster point; generalized quasi continuity},
language = {eng},
number = {2},
pages = {517-525},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Upper quasi continuous maps and quasi continuous selections},
url = {http://eudml.org/doc/38024},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Matejdes, Milan
TI - Upper quasi continuous maps and quasi continuous selections
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 517
EP - 525
AB - The paper deals with the existence of a quasi continuous selection of a multifunction for which upper inverse image of any open set with compact complement contains a set of the form $(G\setminus I)\cup J$, where $G$ is open and $I$, $J$ are from a given ideal. The methods are based on the properties of a minimal multifunction which is generated by a cluster process with respect to a system of subsets of the form $(G\setminus I)\cup J$.
LA - eng
KW - selection; quasi continuity; minimal usco multifunction; cluster point; generalized quasi continuity; selection; quasi continuity; minimal usco multifunction; cluster point; generalized quasi continuity
UR - http://eudml.org/doc/38024
ER -

References

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  9. Matejdes, M., Sur les seléctors des multifunctions, Math. Slovaca 37 (1987), 111-124. (1987) MR0899022
  10. Matejdes, M., 10.2307/44152391, Real Anal. Exchange 19 (1993-94), 394-413. (1993) MR1282658DOI10.2307/44152391
  11. Matejdes, M., 10.14321/realanalexch.32.2.0519, Real Anal. Exchange 32 (2007), 519-526. (2007) Zbl1138.54016MR2369860DOI10.14321/realanalexch.32.2.0519
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