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Ceder, Jack; Levi, Sandro. On the search for Borel $1$ selections. Časopis pro pěstování matematiky, Tome 110 (1985) no. 1, pp. 19-32. doi: 10.21136/CPM.1985.118219
@article{10_21136_CPM_1985_118219,
author = {Ceder, Jack and Levi, Sandro},
title = {On the search for {Borel} $1$ selections},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {19--32},
year = {1985},
volume = {110},
number = {1},
doi = {10.21136/CPM.1985.118219},
mrnumber = {791275},
zbl = {0575.28008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1985.118219/}
}
TY - JOUR AU - Ceder, Jack AU - Levi, Sandro TI - On the search for Borel $1$ selections JO - Časopis pro pěstování matematiky PY - 1985 SP - 19 EP - 32 VL - 110 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1985.118219/ DO - 10.21136/CPM.1985.118219 LA - en ID - 10_21136_CPM_1985_118219 ER -
[1] J. Ceder: On Baire 1 selections. Ric. Mat. 30, 1981, pp. З05 - 315. | MR | Zbl
[2] J. P. R. Christensen: Topology and Borel stгucture. North Holland Mathematics Studies (10), Amsterdam 1974.
[З] M. M. Čoban: Many-valued mappings and Borel sets, I. Trans. Mosc. Math. Soc. 22, 1970. Transl. Am. Math. Soc. pp. 258-280).
[4] M. M. Čoban: Many-valued mappings and Borel sets, II. Tгans. Mosc. Math. Soc. 23, 1970. (Transl. Am. Math. Soc. pp. 286- 310).
[5] K. Debs: Sélections ďune multi-application à valeuгs $G_\delta$. Bull. Cl. Sci. Math. Acad. R. Belg., 1979, pp. 211-216.
[6] R. Engelking: Selectoгs of the first Baire class for semicontinuous set-valued functions. Bull. Acad. Pol. Sei. XVI, 1968 pp. 277-282. | MR
[7] J. Jayne C. A. Rogers: Upper semicontinuous set-valued functions. Acta Math. 149, 1982, pp. 87 - 125. | MR
[8] K. Kuratowski: Topology, vol. I. Academic Press, New-York, 1966. | MR | Zbl
[9] K. Kuratowski C. Ryll-Nardzewski: A general theorem on selectors. Bull. Acad. Pol. Sci. XIII, 1965, pp. 397-403. | MR
[10] E. Michael: Continuous selections, I. Ann. Math., 63, 1956, pp. 361 -382. | MR | Zbl
[11] D. H. Wagner: Suгvey of measurable selection theorems. SIAM Ј. Control Optimization, 15, 1977, pp. 859-903. | MR
[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
[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
[14] W. Ślezak: Some counterexamples in multifunction theory. Real Analysis Exchange 8, 1982-198З, pp. 494-501. | MR
[15] W. Ślezak: Sharpness of some graph conditioned theorems on Borel 1 selectors. (to appers).
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