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 October 9, 2019, 9:00 pm ad1c9bdddf
Please see the attached file for the complete solution.
Thanks for using BrainMass.
For the following problems, we all consider metric ...
Finiteness of sets is investigated. The solution is detailed and well presented.