Ok this is brilliant, super duper clear. I read a few proofs and was struggling to understand why, if an interval had no finite subcover, that one of the halves of that interval must also have no finite subcover. But your explanation at 27:49 cleared that up for me :)
great video, I remember taking real analysis and I didn't really understand the proof but I am in a measure theory class and they invoked the Heine Borel Theorem and I wanted to understand the proof and this really helped.
Ok this is brilliant, super duper clear. I read a few proofs and was struggling to understand why, if an interval had no finite subcover, that one of the halves of that interval must also have no finite subcover. But your explanation at 27:49 cleared that up for me :)
great video, I remember taking real analysis and I didn't really understand the proof but I am in a measure theory class and they invoked the Heine Borel Theorem and I wanted to understand the proof and this really helped.