| Title:
|
On the search for Borel $1$ selections (English) |
| Author:
|
Ceder, Jack |
| Author:
|
Levi, Sandro |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
110 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
19-32 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28B20 |
| idZBL:
|
Zbl 0575.28008 |
| idMR:
|
MR791275 |
| DOI:
|
10.21136/CPM.1985.118219 |
| . |
| Date available:
|
2009-09-23T09:29:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118219 |
| . |
| Reference:
|
[1] J. Ceder: On Baire 1 selections.Ric. Mat. 30, 1981, pp. З05 - 315. Zbl 0495.28009, MR 0682534 |
| Reference:
|
[2] J. P. R. Christensen: Topology and Borel stгucture.North Holland Mathematics Studies (10), Amsterdam 1974. |
| Reference:
|
[З] M. M. Čoban: Many-valued mappings and Borel sets, I.Trans. Mosc. Math. Soc. 22, 1970. Transl. Am. Math. Soc. pp. 258-280). |
| Reference:
|
[4] M. M. Čoban: Many-valued mappings and Borel sets, II.Tгans. Mosc. Math. Soc. 23, 1970. (Transl. Am. Math. Soc. pp. 286- 310). |
| Reference:
|
[5] K. Debs: Sélections ďune multi-application à valeuгs $G_\delta$.. Bull. Cl. Sci. Math. Acad. R. Belg., 1979, pp. 211-216. |
| Reference:
|
[6] R. Engelking: Selectoгs of the first Baire class for semicontinuous set-valued functions.Bull. Acad. Pol. Sei. XVI, 1968 pp. 277-282. MR 0234431 |
| Reference:
|
[7] J. Jayne C. A. Rogers: Upper semicontinuous set-valued functions.Acta Math. 149, 1982, pp. 87 - 125. MR 0674168 |
| Reference:
|
[8] K. Kuratowski: Topology, vol. I.Academic Press, New-York, 1966. Zbl 0158.40901, MR 0217751 |
| Reference:
|
[9] K. Kuratowski C. Ryll-Nardzewski: A general theorem on selectors.Bull. Acad. Pol. Sci. XIII, 1965, pp. 397-403. MR 0188994 |
| Reference:
|
[10] E. Michael: Continuous selections, I.Ann. Math., 63, 1956, pp. 361 -382. Zbl 0071.15902, MR 0077107 |
| Reference:
|
[11] D. H. Wagner: Suгvey of measurable selection theorems.SIAM Ј. Control Optimization, 15, 1977, pp. 859-903. MR 0486391 |
| Reference:
|
[12] D. H. Wagner: Survey of measurable selection theorems: an update.Pгoc. Oberwolfach 1979 conference in measure theory, Lecture Notes in Mathematics, No 794, Springer Verlag. MR 0577971 |
| Reference:
|
[13] Z. Grande: Sur une fonction de classe 2 de Baire dont le graphe coupe les graphes de toutes fonctions de classe 1.Real Analysis Exchange 8, 1982-1983, pp. 509-510. MR 0700202 |
| Reference:
|
[14] W. Ślezak: Some counterexamples in multifunction theory.Real Analysis Exchange 8, 1982-198З, pp. 494-501. MR 0700200 |
| Reference:
|
[15] W. Ślezak: Sharpness of some graph conditioned theorems on Borel 1 selectors.(to appers). |
| . |
