Explore BrainMass

Finiteness of Sets

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

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

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

For the following problems, we all consider metric ...

Solution Summary

Finiteness of sets is investigated. The solution is detailed and well presented.