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15
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Is the unity ball of $rba(X)$ a $G_{\delta}$ space?

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#general-topology #functional-analysis #measure-theory
201
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Function of bounded variation as measure

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#measure-theory #analytic-geometry #bounded-variation #geometric-measure-theory
83
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Do we have $\sigma(X_1, X_2) = \sigma((X_1, X_2))$?

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#real-analysis #probability-theory #measure-theory
55
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Questions about Lipschitz continuity and differentiability a.e.

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#real-analysis #measure-theory #lipschitz-functions
1.6k
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Why do mathematicians refer to sets as "topological spaces" or "measurable spaces" without referencing any topology or measurable sets?

Published on
#measure-theory #terminology
102
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Hausdorff dimension and fractals

Published on
#real-analysis #measure-theory
245
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Fubini's theorem for sequences

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#real-analysis #measure-theory
305
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Measure decomposition

Published on
#functional-analysis #measure-theory #lebesgue-measure
119
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Simple proof check - in null sets, doesn't matter if cover is closed

Published on
#measure-theory #proof-verification #volume
148
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Show that those random quantities converge in distribution to a normal variable (hard analysis problem)

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#real-analysis #probability #probability-theory #measure-theory #stochastic-processes
104
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How to use Tonelli`s theorem

Published on
#measure-theory
176
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The inner product on the space bounded linear operators over a Hilbert space

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#measure-theory #functional-calculus
882
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Is it $\mu(dx)$ or $d\mu(x)$? or they are equal?

Published on
#probability-theory #measure-theory #lebesgue-measure
372
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Measurable selection of geodesics

Published on
#measure-theory #reference-request #geodesic #optimal-transport
786
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Cadlag and adapted imply progressively measurable (related to Protter theorem 6)

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#real-analysis #measure-theory #stochastic-processes #stochastic-analysis #stopping-times

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