| Title:
|
Function spaces in the Stegall class (English) |
| Author:
|
Kortezov, I. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
259-270 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove several stability properties for the class of compact Hausdorff spaces $T$ such that $C(T)$ with the weak or the pointwise topology is in the class of Stegall. In particular, this class is closed under arbitrary products. (English) |
| Keyword:
|
usco mapping |
| Keyword:
|
minimal mapping |
| Keyword:
|
Stegall class |
| MSC:
|
46B20 |
| MSC:
|
46E10 |
| MSC:
|
46E15 |
| MSC:
|
54B10 |
| MSC:
|
54C35 |
| MSC:
|
54C60 |
| idZBL:
|
Zbl 0979.54020 |
| idMR:
|
MR1732646 |
| . |
| Date available:
|
2009-01-08T18:51:51Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119081 |
| . |
| Reference:
|
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| Reference:
|
[B1] Bouziad A.: Une classe d'espaces co-Namioka.C.R. de l'Acad. des Sci., Paris, t.310, série I, 1990, pp.779-782. MR 1054296 |
| Reference:
|
[B2] Bouziad A.: The class of co-Namioka compact spaces is stable under product.Proc. Amer. Math. Soc. 194 3 (1996), 983-986. Zbl 0844.54016, MR 1326999 |
| Reference:
|
[Fa] Fabian M.: Gâteaux Differentiability of Convex Functions and Topology. Weak Asplund Spaces.John Wiley & Sons, Inc., 1997. Zbl 0883.46011, MR 1461271 |
| Reference:
|
[JR] Jayne J.E., Rogers C.A.: Borel selectors for upper semi-continuous set-valued maps.Acta Math. 56 (1985), 41-7. Zbl 0588.54020, MR 0793237 |
| Reference:
|
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| Reference:
|
[K] Kortezov I.S.: Fragmentability of function spaces.preprint. |
| Reference:
|
[Ox] Oxtoby J.O.: The Banach-Mazur game and Baire category theorem.in: Contributions to the Theory of Games, vol.III, Annals of Math. Studies 39, Princeton, N.J., 1957, pp.159-163. MR 0093741 |
| Reference:
|
[St] Stegall Ch.: A class of topological spaces and differentiability.Vorlesungen aus dem Fachbereich Mathematik der Universität Essen 10 (1983), 63-77. MR 0730947 |
| . |
