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Results tagged with haar-measure
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user 109573
Everything the deals with properties and definitions of Haar measure, as well as related fields when the question relies heavily on the notion of haar measure - group harmonic analysis, group ergodic theory etc.
9
votes
If $A, B$ is a non-trivial partition of $S^1$, is it possible that $R_\theta(A) \cap B$ has ...
This question is explored in great generality by Laczkovich in
Laczkovich, Miklós, "Two constructions of Sierpiński and some cardinal invariants of ideals", Real Anal. Exch. 24(1998-99), No. 2, 663-67 …
- 4,316
2
votes
Extending the product measure on $2^\omega$
There is no such measure. Suppose toward contradiction $\mu$ is such a measure.
Partition $\Omega$ by the mod finite equivalence relation $\sim_{\text{fin}},$ let $X \subset \Omega$ be a choice of rep …
- 4,316