Baire one functions and their sets of discontinuity
A characterization of functions in the first Baire class in terms of their sets of discontinuity is given. More precisely, a function f:R→R is of the first Baire class if and only if for each ϵ>0 there is a sequence of closed sets {Cn}∞n=1 such that Df=⋃∞n=1Cn and ωf(Cn)<ϵ for each n where ωf...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | text |
| Published: |
Archīum Ateneo
2016
|
| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/64 https://eudml.org/doc/276786 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Ateneo De Manila University |
Be the first to leave a comment!