On the search for Borel 1 selections

Jack G. Ceder; Sandro Levi

Časopis pro pěstování matematiky (1985)

  • Volume: 110, Issue: 1, page 19-32
  • ISSN: 0528-2195

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Ceder, Jack G., and Levi, Sandro. "On the search for Borel $1$ selections." Časopis pro pěstování matematiky 110.1 (1985): 19-32. <http://eudml.org/doc/21585>.

@article{Ceder1985,
author = {Ceder, Jack G., Levi, Sandro},
journal = {Časopis pro pěstování matematiky},
keywords = {multifunctions admitting Borel 1 selections},
language = {eng},
number = {1},
pages = {19-32},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On the search for Borel $1$ selections},
url = {http://eudml.org/doc/21585},
volume = {110},
year = {1985},
}

TY - JOUR
AU - Ceder, Jack G.
AU - Levi, Sandro
TI - On the search for Borel $1$ selections
JO - Časopis pro pěstování matematiky
PY - 1985
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 110
IS - 1
SP - 19
EP - 32
LA - eng
KW - multifunctions admitting Borel 1 selections
UR - http://eudml.org/doc/21585
ER -

References

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  1. J. Ceder, On Baire 1 selections, Ric. Mat. 30, 1981, pp. З05 - 315. (1981) Zbl0495.28009MR0682534
  2. J. P. R. Christensen, Topology and Borel stгucture, North Holland Mathematics Studies (10), Amsterdam 1974. (1974) 
  3. M. M. Čoban, Many-valued mappings and Borel sets, I, Trans. Mosc. Math. Soc. 22, 1970. Transl. Am. Math. Soc. pp. 258-280). (1970) 
  4. M. M. Čoban, Many-valued mappings and Borel sets, II, Tгans. Mosc. Math. Soc. 23, 1970. (Transl. Am. Math. Soc. pp. 286- 310). (1970) 
  5. K. Debs, Sélections ďune multi-application à valeuгs G δ , . Bull. Cl. Sci. Math. Acad. R. Belg., 1979, pp. 211-216. (1979) 
  6. R. Engelking, Selectoгs of the first Baire class for semicontinuous set-valued functions, Bull. Acad. Pol. Sei. XVI, 1968 pp. 277-282. (1968) MR0234431
  7. J. Jayne C. A. Rogers, Upper semicontinuous set-valued functions, Acta Math. 149, 1982, pp. 87 - 125. (1982) MR0674168
  8. K. Kuratowski, Topology, vol. I, Academic Press, New-York, 1966. (1966) Zbl0158.40901MR0217751
  9. K. Kuratowski C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Pol. Sci. XIII, 1965, pp. 397-403. (1965) MR0188994
  10. E. Michael, Continuous selections, I, Ann. Math., 63, 1956, pp. 361 -382. (1956) Zbl0071.15902MR0077107
  11. D. H. Wagner, Suгvey of measurable selection theorems, SIAM Ј. Control Optimization, 15, 1977, pp. 859-903. (1977) MR0486391
  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. (1979) MR0577971
  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. (1982) MR0700202
  14. W. Ślezak, Some counterexamples in multifunction theory, Real Analysis Exchange 8, 1982-198З, pp. 494-501. (1982) MR0700200
  15. W. Ślezak, Sharpness of some graph conditioned theorems on Borel 1 selectors, (to appers). 

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