Give examples to show that the finiteness of the collections in parts c and d is essential.
c) for any finite collection G1, G2, ...., Gn of open sets, intersection (at the top of the intersection sign is n and at the bottom is i=1) of Gi is open.
d) For any finite collection F1, F2, ...., Fn of closed sets, union sign (with n at the top of the sign and i=1 at the bottom) of Fi is closed.© BrainMass Inc. brainmass.com September 19, 2018, 12:16 pm ad1c9bdddf - https://brainmass.com/math/discrete-math/finiteness-sets-169652
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For the following problems, we all consider metric ...
Finiteness of sets is investigated. The solution is detailed and well presented.