Open Balls, Closed Balls and Spheres

[@feralentropy]

this was insanely helpful for my real analysis class, thank you

[@Askabar]

You have helped a lot with Metric Spaces and made it so much more interesting. Thank you

[@takyc7883]

Thank you for your service Elliot!

[@veronicanwabufo5905]

Thanks for this video. I really now have an understanding of the concepts that I don't need to memorise formulas. What's the application of open balls in differentiation?

[@mihirichathurikaamarasingh7396]

Thank you very much for detailed video.

[@muhammadzeeshan6965]

Good work dude.. Keep it up

[@vuyisacuku8600]

Dear Sir Matric Spaces its so Sweet and Nice

[@canyadigit6274]

Elliot can you answer this question? You proved that the empty set cannot be an open ball, but other sources I have say that an empty set is an open ball due to it being “vacuously true”, I don’t find these arguments convincing so which is right? Is the empty set an open ball or not?

[@blackmatics8923]

thanks , it helps a lot :)

[@AdilKhan-kb9yi]

perfect maza aa gaya

[@dipeshbhandari7045]

please do for open ball in R^n

[@konstantinburlachenko2843]

Thanks! 07:38 sometimes by open sphere people means the same as open ball. For example: Kolmogorov, A. N., Fomin, S. V. (1970). Introductory Real Analysis, Translated and Edited by Richard A. Silverman, page 45

[@avinashagrahari7106]

Nice concept clear

[@sakhan9939]

Thanks for this video. its help me alot.

[@kasm1488]

I learnt such that symbol

[@suhailawm]

Tnx you so much sir

[@comfycozyarewe388]

🌙☄️