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    Lebesgue Measurable Sets, Compact Sets and Open Sets

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    If A is lebesgue measurable sets in R^n, bounded, then there is a compact set K_epsilon and an open set for every epsilon > 0 V_epsilon such that

    K_epsilon is subset of A and A is a subset of V_epsilon

    and for m(A-K) < epsilon

    m(V-K) < epsilon.

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    https://brainmass.com/math/combinatorics/lebesgue-measurable-sets-compact-sets-open-sets-54184

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    Mathematics, Real Variables

    lebesgue sets and compact sets problem

    If A is lebesgue measurable sets in R^n, bounded, then there is a compact set K_epsilon and an open set for every epsilon > 0 V_epsilon such that

    K_epsilon is subset of A and A is a subset of V_epsilon

    and for m(A-K) < epsilon

    m(V-K) < epsilon ...

    Solution Summary

    Lebesgue measurable sets, compact sets and open sets are investigated and discussed in the solution. The solution is detailed and well presented.

    $2.49

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