FTiP21/47: Proof of continuity of measures

[@korchageen]

I don't know how to thank you for all such great videos on such topics. It helps a lot of students like us. We all are grateful. :)

[@m2rahman]

Hi Prof. great videos. For the proof of "2 implies 3", is it needed that P(A_1) be finite?

[@martonbalazsuob4363]

Thanks. I'd guess so, but haven't really thought about it as the course is on probability and indeed in the theorem we assume that the measure of the whole space is 1.

[@m2rahman]

@@martonbalazsuob4363 thanks. Probability of Omega = 1 would of course ensure all sets in the sigma algebra have finite measure.

[@bobkay9278]

Great videos, but the sound is very low, very difficult to hear.

[@martonbalazsuob4363]

Thanks. Sorry for the volume, this is how it came out from the mobile. I'll try to look into it if I need to do more in the future. For these existing ones you could try playing at max volume and/or headphones.

[@martinkjelberg1031]

Can i get some support

[@shahanawazrezwe6426]

Thanks for this information ☺️