Polishness of weak topologies generated by gap and excess functionals

Journal of Convex Analysis

Volumn 3, Issue 2, 1996, Pages 283-294

  Holá, Ľubica ^a   Lucchetti, Roberto ^b  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

^b Dipartimento di Matematica   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744456786     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. A. Barbati, G. Beer and C.Hess: The Hausdorff metric topology, the Attouch-Wets topology and the measurability of set valued functions, J. Convex Analysis, 1 (1994) 107-119.
2. G. Beer: Topologies on Closed and Closed Convex Sets, Kluwer Academic Publishers, 1993.
3. G. Beer: Topologies on closed and closed convex sets and the Effros measurability of set valued functions, Sém. ď Anal. Convexe Montpellier 21, exposé No2, 1991.
4. G. Beer, R. Lucchetti: Weak topologies on the closed subsets of a metrizable space, Trans. Amer. Math. Soc. 335, 805-822.
5. G. Beer, A. Lechicki, S. Levi and S. Naimpally: Distance functionals and suprema of hyperspace topologies, Ann. Mat. Pura Appl. 162 (1992) 367-381.
6. C. Costantini: Every Wijsman topology relative to a Polish space is Polish, preprint.
7. L. Holá: The Wijsman topology as a weak topology generated by gap functionals determined by families of noncompact sets, Bolletino U.M.I. (7) 10-1 (1996) 51-62.
8. R. Lucchetti, A. Torre: Classical set convergence and topologies, Set Valued Analysis (to appear).