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A Metric for the Space of Measurable Functions

✍ Scribed by Andrew C. Berry

Book ID
123667282
Publisher
National Academy of Sciences
Year
1931
Tongue
English
Weight
140 KB
Volume
17
Category
Article
ISSN
0027-8424

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πŸ“œ SIMILAR VOLUMES

Measurable selectors for the metric proj
Measurable selectors for the metric projection
✍ B. Cascales; M. Raja πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 136 KB

## Abstract Let __Y__ and __Z__ be two topological spaces and __F__ : __Y__ Γ— __Z__ β†’ ℝ a function that is upper semi–continuous in the first variable and lower semi–continuous in the second variable. If __Z__ is Polish and for every __y__ ∈ __Y__ there is a point __z__ ∈ __Z__ with __F__(__y, z__)