On the cliquish, quasicontinuous and measurable selections

Milan Matejdes

Mathematica Bohemica (1991)

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

Abstract

top
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

top

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

top
  1. W. W. Bledsoe, 10.1090/S0002-9939-1952-0045791-7, Proc. Amer. Math. Soc. 3 (1952), 114-115. (1952) MR0045791DOI10.1090/S0002-9939-1952-0045791-7
  2. J. Ceder, On Baire 1 selections, Ric. Mat. 30 (1981), 305-315. (1981) Zbl0495.28009MR0682534
  3. J. Dugundji, Topology, Allyn and Bacon, INC, Boston 1968. (1968) MR0478089
  4. J. Ewert, On points of lower and upper quasicontinuity of multivalued maps, Math. Slovaca, 37 (1987), 255-261. (1987) MR1127109
  5. L. A. Fudali, On cliquish function on product spaces, Math. Slovaca 33 (198З), 53-58. (198З) MR0689278
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.