The lindelöf property and fragmentability

Proceedings of the American Mathematical Society

Volumn 128, Issue 11, 2000, Pages 3301-3309

  Cascales, B ^a   Namioka, I ^a   Vera, G ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Fragmentability; Pointwise compactness; Radon nikod m compact spaces

Indexed keywords

EID: 23044523891     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05480-0     Document Type: Article

References (18)

1. p-theory, Open problems in topology, 601-615, North-Holland, Amsterdam, 1990.
2. J. Bourgain, D. Fremlin, and M. Talagrand, Pointwise compact sets of Baire measurable functions, Amer. J. Math., 100 (1978), 845-886.MR 80b:54017
3. R. D. Bourgin, Geometric aspects of convex sets with the Radon-Nikodým property, LNM, Springer-Verlag, 993, 1983.MR 85d:46023
4. B. Cascales, G. Manjabacas, and G. Vera, Fragmentability and compactness in C(K)-spaces, Studia Mathematica, 131 (1998), 73-87.MR 99d:46038
5. B. Cascales and G. Vera, Topologies weaker than the weak topology of a Banach space, J. Math. Anal. Appl., 182 (1994), 41-68.MR 95c:46017
6. G. Debs, Points de continuité d'une fonction séparément continue. II, Proc. Amer. Math. Soc., 99 (1987), 777-782.MR 88d:54013
7. R. Deville, Parties faiblement de Baire dans les espaces de Banach. Applictions à la dentabilité et à l'unicité de certains préduaux, C. R. Acad. Sc. Paris. Serie I, 298 (1984), 129-131.MR 85h:46029
8. J. E. Jayne and C. A. Rogers, Borel selectors for upper semicontinuous set-valued maps, Acta Math, 155 (1985), 41-79.MR 87a:28011
9. W. Moran, Separate continuity and support of measures, J. London Math. Soc., 44 (1969), 320-324.MR 38:4642
10. I. Namioka, Separate continuity and joint continuity, Pac. J. Math., 51 (1974), 515-531.MR 51:6693
11. I. Namioka, Radon-Nikodým compact spaces and fragmentability, Mathematika, 34 (1989), 258-281.MR 89i:46021
12. R. Pol, On pointwise and weak topology in function spaces, Preprint Nr. 4/84. Warszawa, 1984.
13. 1, Proc. Nat. Acad. Sci. U.S.A., 71 (1974), 2411-2413.MR 50:10773
14. W. Sierpinski, Sur une suite infinie de fonctions de classe 1 dont toute fonction d'acumulation est non mesurable, Fund. Math., 33 (1945), 104-105.MR 8:18a
15. V. V. Srivatsa, Baire class I selectors for upper semi-continuous set-valued maps, Trans. Amer. Math. Soc. 337 (1993), 609-624.MR 93h:54013
16. C. Stegall, Functions of the first Baire class, Proc. Amer. Math. Soc., 111 (1991), 981-991.MR 91k:26003
17. M. Talagrand, Deux generalisations d'un théorème de I. Namioka, Pacific J. Math., 81 (1979), 239-251.MR 80k:54018
18. G. Vera, Baire measurability of separately continuous functions, Quart. J. Math. Oxford, (2), 39 (1988), 109-116.MR 89e:28007