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