Measure theory | Measures (measure theory)

Support (measure theory)

In mathematics, the support (sometimes topological support or spectrum) of a measure μ on a measurable topological space (X, Borel(X)) is a precise notion of where in the space X the measure "lives". It is defined to be the largest (closed) subset of X for which every open neighbourhood of every point of the set has positive measure. (Wikipedia).

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Measure Theory - Part 1 - Sigma algebra

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From playlist Measure Theory

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Measure Theory - Part 3 - What is a measure?

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From playlist Measure Theory

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Measure Theory - Part 9 - Fatou's Lemma

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From playlist Measure Theory

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Proof of the substitution rule for measure spaces (Measure Theory Part 16)

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From playlist Measure Theory

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Outer measures - Part 2: Examples (Measure Theory Part 21)

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From playlist Measure Theory

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Measure Theory - Part 6 - Lebesgue integral

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From playlist Measure Theory

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Measure Theory - Part 7 - Monotone convergence theorem (and more)

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From playlist Measure Theory

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Measure Theory - Part 5 - Measurable maps

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From playlist Measure Theory

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Outer measures - Part 3: Proof (Measure Theory Part 22)

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From playlist Measure Theory

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Probability Theory - Part 11 - Distribution of a Random Variable

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From playlist Probability Theory

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Gaussian Brunn-Minkowski Theory by Mokshay Madiman

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From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY

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Probability Theory - Part 3 - Discrete vs. Continuous Case

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From playlist Probability Theory

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Probability Theory - Part 7 - Conditional Probability

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From playlist Probability Theory

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Seminar In the Analysis and Methods of PDE (SIAM PDE): Andrea R. Nahmod

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From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)

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From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"

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Measure Theory - Part 8 - Monotone convergence theorem (Proof and application)

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From playlist Measure Theory

Related pages

Topological space | Support (mathematics) | Lebesgue measure | If and only if | Closure (topology) | Self-adjoint operator | Strictly positive measure | Measurable space | Definition | Hausdorff space | Dirac measure | Neighbourhood (mathematics) | Variance | Hahn decomposition theorem | Signed measure | Mathematics | Complex measure | Essential range | Set (mathematics) | Union (set theory) | Measurable function | Closed set | Singleton (mathematics) | Subset | Hilbert space | Interval (mathematics) | Radon measure | Measure space | Open set