Algebraic Topology 1.3 : Path Homotopy and Product (Animation Included)

In this video, I introduce the concept of path homotopy, as well as the product of paths. This is in build-up to the fundamental group. I talk about the line homotopy, convex sets, and general theorems regarding products of paths and homotopy.

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[farissaadat]

Thank you for making the first one second of this video so welcoming to my ears.

[duncanw]

My Ricci flow senses are








I love this channel so much 'cause it allows you, even if not fully educated in the topics, to at least talk like you are.

[JuanRodriguez-trst]

I don't know why I'm excited to watch this thank you

[gregoriousmaths]

wow the proof that the product is associative was neat!

[thayanithirk]

Please continue posting vedios regularly

[isleofdeath]

Might have been a good idea to write down the base Homotopy definition (ref. to 1st) again and just apply it here. Side by side. Otherwise, thanks for your efforts and I hope you will drop the ball soon... :-)

[xriccardo]

Imagine using the interval [0, 69] instead of [0, 1] in all of your definitions. It would work but also create a lot of confusion in people learning that for the first time LMAO

[michaelnovak]

Could you make videos about type theory and homotopy type theory?

[jiaweihu]

Excuse me, I wonder how could I get the homotopy function when I know the two paths?

[narutosaga]

Damn can you pleasee share the song in the background? whats the genre? oh man i hope someone sees this

[asitisj]

Unrelated note, what are you holding in your hand?

[thayanithirk]

Can I please know what degree you studied because Iam also interested in maths

[jiaming]

I think your PlanckTime website has been hacked or something