What is Algebraic Topology?

This taster lecture by Dr Ulrich Pennig at Cardiff University's School of Mathematics discusses if/how geometric objects can be deformed into other shapes. And also talks about how Algebraic Topology is relevant for a number of other areas including data analysis, number theory... and football!

[dziugaschvoinikov]

Watching Algebraic Topology introduction at midnight.

[kenroyadams]

This is so interesting. I came across this topic this semester doing a course in Real Analysis. Thank you so much for taking the time to share this video.

[chinonsounegbu]

Wow! So interesting. My dream Mathematics area. I hope to get some good offer soon.

[mathsnoobs]

In the cuboidal donut, if we just take a cuboid and punch a rectangle through the middle of it ( getting rid of the edges and vertices crossing through the middle), we will get a (smooth) donut which has V = 16, E = 24 & F = 10, making V - E + F = 2.
What am I missing here?

[sanjursan]

I make no apology for my Topology,
my Homotopy is what it aught to be!

[ИванИванов-ьох]

thanks for video. i found topology very interesting

[merikaramocan]

Learning this will make on a great Physicist.

[F_]

I have another 2 years until I possibly can hope to understand this, , , ,

[sanjursan]

So, that object used for Topological thought experiments is a Gedunkin Donut?

[francescos]

Thanks I appreciate, like all fields related to entropy and geometry .

[xyzct]

The general topologist just down the hall from me can't tell his a$$ from two holes in the ground.

[Protectusmichael]

Watching this with zero background and just expecting to understand it

[bilboswaggins]

I’m so mad I’m here, getting so confused, because of a TikTok