On the cliquish, quasicontinuous and measurable selections

Milan Matejdes

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 2, page 170-173
  • ISSN: 0862-7959

Abstract

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The purpose of this paper is the investigation of the necessary and sufficient conditions under which a given multifunctions admits a cliquish and measurable selection. Our investigation also covers the search for quasicontinuous selections for multifunctions which are continuous with respect to the generalized notion of the semi-quasicontinuity.

How to cite

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Matejdes, Milan. "On the cliquish, quasicontinuous and measurable selections." Mathematica Bohemica 116.2 (1991): 170-173. <http://eudml.org/doc/29289>.

@article{Matejdes1991,
abstract = {The purpose of this paper is the investigation of the necessary and sufficient conditions under which a given multifunctions admits a cliquish and measurable selection. Our investigation also covers the search for quasicontinuous selections for multifunctions which are continuous with respect to the generalized notion of the semi-quasicontinuity.},
author = {Matejdes, Milan},
journal = {Mathematica Bohemica},
keywords = {quasicontinuity; cliquish and measurable selection; cliquish selection; measurable selection; cliquish selection; quasicontinuity; measurable selection},
language = {eng},
number = {2},
pages = {170-173},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the cliquish, quasicontinuous and measurable selections},
url = {http://eudml.org/doc/29289},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Matejdes, Milan
TI - On the cliquish, quasicontinuous and measurable selections
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 2
SP - 170
EP - 173
AB - The purpose of this paper is the investigation of the necessary and sufficient conditions under which a given multifunctions admits a cliquish and measurable selection. Our investigation also covers the search for quasicontinuous selections for multifunctions which are continuous with respect to the generalized notion of the semi-quasicontinuity.
LA - eng
KW - quasicontinuity; cliquish and measurable selection; cliquish selection; measurable selection; cliquish selection; quasicontinuity; measurable selection
UR - http://eudml.org/doc/29289
ER -

References

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  2. J. Ceder, On Baire 1 selections, Ric. Mat. 30 (1981), 305-315. (1981) Zbl0495.28009MR0682534
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  6. S. Kempisty, Ѕur les fonctions quasicontinues, Ғund. Math. 19 (1932), 184-197. (1932) 
  7. K. Kuratowski C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Polon. Ѕci. Ѕér. Ѕci. Math. Astronom. Phys. 13 (1965), З97-40З. (1965) MR0188994
  8. S. Levi J. Ceder, On the search for Borel 1 selections, Časopis pěs. mat. 110 (1985), 19-32. (1985) MR0791275
  9. M. Matejdes, Ѕuг les selécteurs des multifonctions, Math. Ѕlovaca 37 (1987), 111-124. (1987) MR0899022
  10. T. Neubrunn, On quasicontinuity of multifunctions, Math. Ѕlovaca 32 (1982), 147-154. (1982) Zbl0483.54009MR0658248

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