The paper is devoted to a general factorization theorem for "continuous" set-valued mappings defined on arbitrary topological spaces. This result fits naturally into the selection theory showing that several known selection theorems remain valid under minimal hypotheses. Also, the result is successf
Generic continuity of restricted weak upper semi-continuous set-valued mappings
β Scribed by Giles, J. R. ;Moors, W. B.
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 796 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0927-6947
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By means of the Minkowski function we define a new concept of local Holder Ε½ . equicontinuity respectively local Holder continuity for families consisting of Ε½ . set-valued mappings respectively for set-valued mappings between topological linear spaces. The connection between this new concept and t
Given two spaces X and Y, three kinds of continuous nppinge f : X --, Y are considered: the set \* of all monotone mappings, the set .&?of idl light mappings and the set % of all non-alternating (onto) mappings. It is shown that -kmde.\P suitable .lssumptions on the spaces X and Y -the sets%, .@and