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von Neumann sub algebras of $L^{\infty}$

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#measure-theory #von-neumann-algebras
40
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to show if f is measurable or not

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#measure-theory #measurable-functions
151
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Continuity of $f(x)=m^*(E \cap B(x,r))$

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#real-analysis #measure-theory #continuity #lebesgue-measure
262
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Total variation of a measure in a topological dual of the space of continuous functions

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#functional-analysis #measure-theory #normed-spaces #bounded-variation #total-variation
239
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Functions with finite right-hand limits are Borel measurable

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#real-analysis #measure-theory
396
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Prove the geometric "Pigeonhole Principle"

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#combinatorics #measure-theory #pigeonhole-principle #geometric-measure-theory
1.1k
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Is there a generalization of the nested interval theorem in $\mathbb{R}^n$?

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#real-analysis #measure-theory #geometric-measure-theory
145
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How do I show that $\mu \wedge \nu \leq \mu, \nu$?

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#real-analysis #measure-theory
606
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Invariance for translations of the Lebesgue measure

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#measure-theory #proof-explanation #lebesgue-measure
49
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Wasserstein distance between hyperplane and cube

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#probability-theory #measure-theory #concentration-of-measure #optimal-transport
45
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Example of a sequence $(A_n)$ of measurable subsets in $[0,1]$ with positive measure.

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#measure-theory #proof-verification #lebesgue-measure #alternative-proof
377
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Asking about a hint: constructing a cantor-like set

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#measure-theory #cantor-set
459
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Definition of locally integrable

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#measure-theory
69
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Defining an "improper" Lebesgue integral?

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#measure-theory #lebesgue-measure #lp-spaces
38
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Is my use of Fatou's Lemma correct in this case?

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#real-analysis #integration #measure-theory #convergence-divergence #lebesgue-measure

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