This was so simple and to the point. I feel like I've been reading and watching videos for hours. Having a physical example helps understand. All definitions are so abstract, so it helps to see an example. Thank you for your time!

@TheMathSorcerer

7 жыл бұрын

np at all!

I am really thankful for you

Really very well done! Thank you very much, your videos are really helping me in this Metric Spaces module I've taken this year :)

@TheMathSorcerer

7 жыл бұрын

awesome!

Thank you very much it was so easy to understand

@TheMathSorcerer

4 жыл бұрын

great:)

Does X contain a or {a}? I’m a little confused because you state closure is the intersection of sets containing “set a” but it looks like you’re creating intersections of sets containing the *element* a. Is this essentially the same? Does the set {a,c} contain {a} (a set), or a, an element? Thanks in advance for help in understanding.

Hi Dr. Is there any relation between the topology and statistics? If there, can you suggest me a titles about this topic please.

@Math Sorcerer:where do u get c?

Life saver

Tx a lot

thank you ...

@TheMathSorcerer

7 жыл бұрын

np:)

Thank you for the video! A question: isn't singleton set a closed set?

@TheMathSorcerer

4 жыл бұрын

the answer is , it depends on what your topology is and how you define open sets. Remember a topology is a set X together a collection T of open subsets of X. The elements of T are called open sets. How you define "open" determines what elements belong to T. There are different topologies, and so the answer varies. In the "usual topology" on the set of real numbers, singletons are closed.

thanks :D

I never seen before this topics in explain sir awesome👏👏👏👏👏 thank you sir

@TheMathSorcerer

4 жыл бұрын

You are welcome!

thanks

@TheMathSorcerer

7 жыл бұрын

np

sorry I missed it