| Title:
|
On selections of multifunctions (English) |
| Author:
|
Matejdes, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
255-260 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The purpose of this paper is to introduce a definition of cliquishness for multifunctions and to study the search for cliquish, quasi-continuous and Baire measurable selections of compact valued multifunctions. A correction as well as a generalization of the results of [5] are given. (English) |
| Keyword:
|
cliquishness |
| Keyword:
|
cliquish compact-valued multifunctions |
| Keyword:
|
quasi-continuous and Baire measurable selection |
| MSC:
|
26B20 |
| MSC:
|
26E25 |
| MSC:
|
28B20 |
| MSC:
|
54C60 |
| MSC:
|
54C65 |
| idZBL:
|
Zbl 0785.54022 |
| idMR:
|
MR1239120 |
| DOI:
|
10.21136/MB.1993.125931 |
| . |
| Date available:
|
2009-09-24T20:59:46Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125931 |
| . |
| Reference:
|
[1] W. W. Bledsoe: Neighborly functions.PAMS 3(1952), 114-115. Zbl 0046.40301, MR 0045791, 10.1090/S0002-9939-1952-0045791-7 |
| Reference:
|
[2] R. Engelking: Topologia ogólna.PWN, Warszawa, 1976. Zbl 0373.54001, MR 0500779 |
| Reference:
|
[3] L. A. Fudali: On cliquish functions on product spaces.Math. Slovaca 33 (1983), 53-58. Zbl 0512.54007, MR 0689278 |
| Reference:
|
[4] M. Matejdes: Sur les seléctors des multifonctions.Math. Slovaca 37 (1987), 111-124. MR 0899022 |
| Reference:
|
[5] M. Matejdes: On the cliquish, quasicontinuous and measurable selections.Math. Bohemica 116(1991), 170-173. Zbl 0736.54012, MR 1112001 |
| Reference:
|
[6] T. Neubrunn: Quasi-continuity.Real Anal. Exchange 14 (1988-89), 259-306. MR 0995972 |
| . |