Find two collections of nonempty sets {In}n belongs to N and {jn}n belongs to N in...
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Find two collections of nonempty sets {In}n belongs to N and {jn}n belongs to N in R with In+1 C In and jn+1 C jn for all n belongs to N such that (i) Each set In s closed and intersection n belong to N In=phi. (ii) Each set Jn is bounded and intersection n belongs to N Jn= phi. Find two collections of nonempty sets {In}n belongs to N and {jn}n belongs to N in R with In+1 C In and jn+1 C jn for all n belongs to N such that (i) Each set In s closed and intersection n belong to N In=phi. (ii) Each set Jn is bounded and intersection n belongs to N Jn= phi.
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