Factorizations of set-valued mappings with separable range

Valentin G. Gutev

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 4, page 809-814
  • ISSN: 0010-2628

Abstract

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Right factorizations for a class of l.s.cṁappings with separable metrizable range are constructed. Besides in the selection and dimension theories, these l.s.cḟactorizations are also successful in solving the problem of factorizing a class of u.s.cṁappings.

How to cite

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Gutev, Valentin G.. "Factorizations of set-valued mappings with separable range." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 809-814. <http://eudml.org/doc/247875>.

@article{Gutev1996,
abstract = {Right factorizations for a class of l.s.cṁappings with separable metrizable range are constructed. Besides in the selection and dimension theories, these l.s.cḟactorizations are also successful in solving the problem of factorizing a class of u.s.cṁappings.},
author = {Gutev, Valentin G.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {set-valued mapping; lower (upper) semi-continuous; factorization; set-valued mapping; lower (upper) semi-continuous; factorizations},
language = {eng},
number = {4},
pages = {809-814},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Factorizations of set-valued mappings with separable range},
url = {http://eudml.org/doc/247875},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Gutev, Valentin G.
TI - Factorizations of set-valued mappings with separable range
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 4
SP - 809
EP - 814
AB - Right factorizations for a class of l.s.cṁappings with separable metrizable range are constructed. Besides in the selection and dimension theories, these l.s.cḟactorizations are also successful in solving the problem of factorizing a class of u.s.cṁappings.
LA - eng
KW - set-valued mapping; lower (upper) semi-continuous; factorization; set-valued mapping; lower (upper) semi-continuous; factorizations
UR - http://eudml.org/doc/247875
ER -

References

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  1. Choban M., Many-valued mappings and Borel sets, II, Trans. Moscow Math. Soc. 23 (1970), 286-310. (1970) 
  2. Gutev V., Selection theorems under an assumption weaker than lower semi-continuity, Topology Appl. 50 (1993), 129-138. (1993) Zbl0809.54015MR1217481
  3. Gutev V., Selections for quasi-l.s.c. mappings with uniformly equi- L C n range, Set-Valued Analysis 1 (1993), 319-328. (1993) MR1267200
  4. Lavrentieff M., Contribution à la théorie des ensemble homéomorphes, Fund. Math. 6 (1924), 149-160. (1924) 
  5. Michael E., Continuous selections I, Ann. of Math. 63 (1956), 361-382. (1956) Zbl0071.15902MR0077107
  6. Morita K., Čech cohomology and covering dimension for topological spaces, Fund. Math. 87 (1975), 1 31-52. (1975) Zbl0336.55003MR0362264
  7. Nedev S., Selection and factorization theorems for set-valued mappings, Serdica 6 (1980), 291-317. (1980) Zbl0492.54006MR0644284

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