| Title:
|
On the cliquish, quasicontinuous and measurable selections (English) |
| Author:
|
Matejdes, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
116 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
170-173 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
quasicontinuity |
| Keyword:
|
cliquish and measurable selection |
| Keyword:
|
cliquish selection |
| Keyword:
|
measurable selection |
| MSC:
|
28B20 |
| MSC:
|
54C65 |
| idZBL:
|
Zbl 0736.54012 |
| idMR:
|
MR1112001 |
| DOI:
|
10.21136/MB.1991.126135 |
| . |
| Date available:
|
2009-09-24T20:44:36Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126135 |
| . |
| Reference:
|
[1] W. W. Bledsoe: Neighbourly functions.Proc. Amer. Math. Soc. 3 (1952), 114-115. MR 0045791, 10.1090/S0002-9939-1952-0045791-7 |
| Reference:
|
[2] J. Ceder: On Baire 1 selections.Ric. Mat. 30 (1981), 305-315. Zbl 0495.28009, MR 0682534 |
| Reference:
|
[З] J. Dugundji: Topology.Allyn and Bacon, INC, Boston 1968. MR 0478089 |
| Reference:
|
[4] J. Ewert: On points of lower and upper quasicontinuity of multivalued maps.Math. Slovaca, 37 (1987), 255-261. MR 1127109 |
| Reference:
|
[5] L. A. Fudali: On cliquish function on product spaces.Math. Slovaca 33 (198З), 53-58. MR 0689278 |
| Reference:
|
[6] S. Kempisty: Ѕur les fonctions quasicontinues.Ғund. Math. 19 (1932), 184-197. |
| Reference:
|
[7] K. Kuratowski C. Ryll-Nardzewski: A general theorem on selectors.Bull. Acad. Polon. Ѕci. Ѕér. Ѕci. Math. Astronom. Phys. 13 (1965), З97-40З. MR 0188994 |
| Reference:
|
[8] S. Levi J. Ceder: On the search for Borel 1 selections.Časopis pěs. mat. 110 (1985), 19-32. MR 0791275 |
| Reference:
|
[9] M. Matejdes: Ѕuг les selécteurs des multifonctions.Math. Ѕlovaca 37 (1987), 111-124. MR 0899022 |
| Reference:
|
[10] T. Neubrunn: On quasicontinuity of multifunctions.Math. Ѕlovaca 32 (1982), 147-154. Zbl 0483.54009, MR 0658248 |
| . |
