| Title:
|
Factorizations of set-valued mappings with separable range (English) |
| Author:
|
Gutev, Valentin G. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
809-814 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Right factorizations for a class of l.s.c\. mappings with separable metrizable range are constructed. Besides in the selection and dimension theories, these l.s.c\. factorizations are also successful in solving the problem of factorizing a class of u.s.c\. mappings. (English) |
| Keyword:
|
set-valued mapping |
| Keyword:
|
lower (upper) semi-continuous |
| Keyword:
|
factorization |
| MSC:
|
54C60 |
| MSC:
|
54C65 |
| MSC:
|
54F45 |
| idZBL:
|
Zbl 0886.54016 |
| idMR:
|
MR1440711 |
| . |
| Date available:
|
2009-01-08T18:28:08Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118888 |
| . |
| Reference:
|
[1] Choban M.: Many-valued mappings and Borel sets, II.Trans. Moscow Math. Soc. 23 (1970), 286-310. |
| Reference:
|
[2] Gutev V.: Selection theorems under an assumption weaker than lower semi-continuity.Topology Appl. 50 (1993), 129-138. Zbl 0809.54015, MR 1217481 |
| Reference:
|
[3] Gutev V.: Selections for quasi-l.s.c. mappings with uniformly equi-$LC^n$ range.Set-Valued Analysis 1 (1993), 319-328. MR 1267200 |
| Reference:
|
[4] Lavrentieff M.: Contribution à la théorie des ensemble homéomorphes.Fund. Math. 6 (1924), 149-160. |
| Reference:
|
[5] Michael E.: Continuous selections I.Ann. of Math. 63 (1956), 361-382. Zbl 0071.15902, MR 0077107 |
| Reference:
|
[6] Morita K.: Čech cohomology and covering dimension for topological spaces.Fund. Math. 87 (1975), 1 31-52. Zbl 0336.55003, MR 0362264 |
| Reference:
|
[7] Nedev S.: Selection and factorization theorems for set-valued mappings.Serdica 6 (1980), 291-317. Zbl 0492.54006, MR 0644284 |
| . |
