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Results tagged with real-analysis
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user 91504
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
9
votes
3
answers
395
views
Countable shifts of closed positive sets
Let $\mu$ be the Lebesgue measure, and $+$ be addition modulo $1$ in the interval $[0,1)$.
Question1: Is there a closed set $C\subset [0,1)$ of positive measure such that for any countable set $D\sub …
- 135
4
votes
1
answer
469
views
Covering measure one sets by closed null sets
(The following question arose in a joint research with Adam Przeździecki and Boaz Tsaban.)
For a $\sigma$-ideal $\mathcal{I}$ of subsets of the unit interval
$[0,1]$, define
$$\newcommand{\card}[1]{ …
- 135