13 июл. 2018 г. · The general covering theorem for metric spaces seems to claim the existence of a subfamily without mentioning its countability. If the space is ...

25 окт. 2012 г. · The statement of Vitali Covering Theorem for bounded subsets A⊂X implies the statement for all subsets A⊂X. Here X is a metric space equipped with a Borel ...

26 мая 2011 г. · Assuming that you are considering the Vitali covering theorem for Radon measures in Rn the answer is that open balls don't work.

18 дек. 2009 г. · I proved it with constant k>3. But I cannot find an counterexapmle why 3 is not enough (it is enough in the finite version of the lemma).

5 дек. 2012 г. · Clearly the greedy algorithm which is used in the standard proof of Vitali covering lemma cannot give anything better than 13n.

25 июл. 2020 г. · 2. Nope. The Vitali Covering Lemma does give me a result of the kind I want, but only for measures μ where μ(B(x,r)) and μ(B(x,5r)) are ...

22 апр. 2013 г. · Vitali Covering Theorem for Arbitrary Subsets of Doubling Metric Spaces · 3 · For Every Measure Zero Set E There Exists a Positive Measure with ...

16 окт. 2020 г. · The Vitali and Heine-Borel covering theorems are house-hold ... Vitali covering theorem is equivalent to WWKL (weak weak Koenig's lemma).

17 мая 2019 г. · Consider a maximal family of balls such that no center belongs to another ball so that any additional ball will have its center covered by the union.