Strange theorems in topology

We look at several fascinating and strange results in topology: Brouwer’s fixed point theorem, the hairy ball theorem, the Borsuk-Ulam theorem, and the ham sandwich theorem.
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[@naveenmaurya8802]

Came to see Hairy Ball Theorem

[@jackwatts7584]

Hi there, in a previous video on the Banach Tarski theorem, you talked about how Felix Hausdorff proved that you could partition the unit line segment into countably many subsets and then rearrange them to make a segment of length 2. Could I please ask what the name of this theorem is please as I am struggling to find it?

[@jimiwills]

Hairy balls 😂

[@jcantonelli1]

I mean, come on - he did that on purpose...lol.

[@jimiwills]

@@jcantonelli1 I certainly hope so

[@minimath5882]

awesome!

[@natepolidoro4565]

Hairy balls lol

[@shortsornothing4981]

Wow. Thanks for creating this. So cool facts and greatly explained with a mind boggling fact at last.

[@cycklist]

Is it true that there's no Nobel Prize for maths because Nobel didn't like mathematics?

[@discovermaths]

That's one theory but I don't think anyone knows for sure. It's also said that Nobel may have considered that mathematics didn't have enough practical benefit to humanity.

[@philipm3173]

@@discovermaths that might just be the most wrong opinion ever

[@simengrandal6898]

Anyhow.. real mathematicians would still prefer to win the Abel, and even the Field's.. rather than a Nobel;)

[@walkman1984]

but how would this theory work on a flat earth model?

[@cgee3057]

👏 𝓅𝓇𝑜𝓂𝑜𝓈𝓂