- #1
ckr21
- 7
- 0
1. Prove that a set is closed if and only if it contains all of its cluster points.
2. Can I use part of the Lemma here that states: Every interior point of A is a Cluster point.
Also what exactly is the definition of a closed set other than a set is closed if its compliment is open.
3. Just by using the definitions i feel like I should be able to prove this. It seems so simple yet I don't know where to start exactly. I just need some direction...and maybe better definitions.
2. Can I use part of the Lemma here that states: Every interior point of A is a Cluster point.
Also what exactly is the definition of a closed set other than a set is closed if its compliment is open.
3. Just by using the definitions i feel like I should be able to prove this. It seems so simple yet I don't know where to start exactly. I just need some direction...and maybe better definitions.