Timeline for Is there a function defined on real numbers which is continuous from the left, but not from the right, everywhere
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 21, 2020 at 0:55 | comment | added | Bach | What is your $\mathcal{L}$? | |
| Nov 14, 2013 at 18:47 | comment | added | Pietro Majer | As a nice consequence, if a left-continuous $f$ is bounded on $[a,b]$ it is also Riemann integrable. | |
| Nov 14, 2013 at 13:00 | comment | added | Tapio Rajala | I did not think about the measurability too much, but you could consider for instance functions $F(x) = \sup_{\delta \in (0,\delta_n)\cap \mathbb{Q}}|f(x)-f(x-\delta)|$ which are measurable as countable supremum of measurable functions. | |
| Nov 14, 2013 at 12:42 | comment | added | Hao Yin | Can you explain why $A_n$ is measurable? Why do you mention "left continuous functions are Borel"? | |
| Nov 14, 2013 at 12:29 | vote | accept | Hao Yin | ||
| Nov 14, 2013 at 12:29 | |||||
| Nov 14, 2013 at 11:51 | history | answered | Tapio Rajala | CC BY-SA 3.0 |