| Title:
|
On $\delta $-continuous selections of small multifunctions and covering properties (English) |
| Author:
|
Fedeli, Alessandro |
| Author:
|
Pelant, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
155-159 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The spaces for which each $\delta$-continuous function can be extended to a $2\delta$-small point-open l.s.c\. multifunction (resp. point-closed u.s.c\. multifunction) are studied. Some sufficient conditions and counterexamples are given. (English) |
| Keyword:
|
$\delta $-continuous selections |
| Keyword:
|
small multifunctions |
| Keyword:
|
paracompactness |
| Keyword:
|
orthocompactness |
| MSC:
|
54C60 |
| MSC:
|
54C65 |
| MSC:
|
54D18 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 0734.54010 |
| idMR:
|
MR1118298 |
| . |
| Date available:
|
2008-10-09T13:11:34Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116951 |
| . |
| Reference:
|
[1] Burke D.K.: Orthocompactness and perfect mappings.Proc. Amer. Math. Soc. 79 (1980), 484-486. Zbl 0433.54005, MR 0567998 |
| Reference:
|
[2] Burke D.K.: Covering properties.Chapter 9 of Handbook of set-theoretic topology, edited by K. Kunen and J.E. Vaughan, Elsevier Science Publishers, B.V., North Holland, 1984, 347-422. Zbl 0569.54022, MR 0776628 |
| Reference:
|
[3] Gruenhage G.: On closed images of orthocompact spaces.Proc. Amer. Math. Soc. 77 (1979), 389-394. Zbl 0422.54013, MR 0545602 |
| Reference:
|
[4] Klee V.: Stability of the fixed point theory.Colloq. Math. 8 (1961), 43-46. MR 0126261 |
| Reference:
|
[5] Muenzenberger T.B.: On the proximate fixed point property for multifunctions.Colloq. Math. 19 (1968), 245-250. Zbl 0181.26203, MR 0227968 |
| Reference:
|
[6] Schirmer H.: $\delta $-continuous selections of small multifunctions.Can. J. Math. XXIV, (4) (1972), 631-635. Zbl 0219.54012, MR 0300255 |
| Reference:
|
[7] Smithson R.E.: A note on $\delta $-continuity and proximate fixed points for multi-valued functions.Proc Amer. Math. Soc. 23 (1969), 256-260. Zbl 0183.27703, MR 0248774 |
| . |
