Quasicontinuous selections for closed-valued multifunctions

Ivan Kupka

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 1, page 67-78
  • ISSN: 0232-0525

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Kupka, Ivan. "Quasicontinuous selections for closed-valued multifunctions." Mathematica Slovaca 52.1 (2002): 67-78. <http://eudml.org/doc/31900>.

@article{Kupka2002,
author = {Kupka, Ivan},
journal = {Mathematica Slovaca},
keywords = {multivalued map; lower semicontinuity; selection; quasicontinuity},
language = {eng},
number = {1},
pages = {67-78},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Quasicontinuous selections for closed-valued multifunctions},
url = {http://eudml.org/doc/31900},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Kupka, Ivan
TI - Quasicontinuous selections for closed-valued multifunctions
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 1
SP - 67
EP - 78
LA - eng
KW - multivalued map; lower semicontinuity; selection; quasicontinuity
UR - http://eudml.org/doc/31900
ER -

References

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  1. BRESSAN A., Directionally continuous selections and differential inclusions, Funkcialaj Ekvacioj 31 (1988), 459-470. (1988) Zbl0676.34014MR0987798
  2. BRESSAN A., COLOMBO G., Selections and representations of multifunctions in paracompact spaces, Studia Math. 102 (1992), 209-216. (1992) Zbl0807.54020MR1170551
  3. CARBONE L., Selezioni continue in spazi non lineari e punti fissi, Rend. Circ. Mat. Palermo 25 (1976), 101-115. (1976) Zbl0381.54007MR0515152
  4. KUPKA I., Quasicontinuous selections for compact-valued multifunctions, Math. Slovaca 43 (1993), 69-75. (1993) Zbl0784.54023MR1216269
  5. KUPKA I., Continuous multifunction from [-1,0] to 𝐑 having no continuous selection, Publ. Math. Debrecen 48 (1996), 367-370. (1996) MR1394857
  6. MATEJDES M., Sur les sélecteurs des multifonctions, Math. Slovaca 37 (1987), 110-124. (1987) Zbl0629.54013MR0899022
  7. MICHAEL E., Continuous selections I, Annals of Mathematics 63 (1956), 361-382. (1956) Zbl0071.15902MR0077107
  8. MICHAEL E., Selected selection theorems, Amer. Math. Monthly 63 (1956), 233-238. (1956) Zbl0070.39502MR1529282
  9. NEUBRUNNOVÁ A., On certain generalisations of the notion of continuity, Mat. Čas. 23 (1973), 374-380. (1973) MR0339051
  10. OXTOBY J. C., Measure and Category, Springer-Verlag, New York-Heidelberg-Berlin, 1971. (1971) Zbl0217.09201MR0584443
  11. PIOTROWSKI Z., A survey of results concerning generalized continuity on topological spaces, Acta Math. Univ. Comenian. 52-53 (1987), 91-110. (1987) Zbl0693.54007MR0989626

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