Topological Spaces: Introduction & Axioms

The first video in a new series on topological spaces and manifolds.

[wuyqrbt]

Please continue this subject and make a play list of Topology (full of great videos, as always).
Thank you

[complexrealmaster]

This is a very great introduction video for anyone who want learn what a topology is. It is great that you pointed out that if U is in the topology then U is called open. It took me a week to realize that all elements in the topology are open. Can’t wait what you will do later on.

[thepirateage]

so glad. always wanted to learn about this. thank you :)

[wuyqrbt]

One of my favorites subjects that I'm so curious about it.
Thank you so much

[jamesmott]

Great analogy with the biscuit & jelly to metric & topological spaces. Really nice use of venn diagrams for visuals. Looking forward to more videos and learning more from you!

[complexrealmaster]

A fun fact is, assuming M is a topological space, that the empty set and the set M are clopen, they are both open and closed.

[royalbeatlemaniac]

what math textbooks are you using(in general)? Baby Rudin? Grandpa Rudin? Lang?

[complexrealmaster]

The continuity definition in topology is much easier. You don’t need any epsilons/deltas.