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date: 2021-04-26
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Tags: #homotopy 

# Big Theorems

- Brouwer Fixed Point
- Division Algebras over $\RR$
- Borsuk-Ulam
- Invariance of domain
- [Aatiyah-Singer Index Theorem](Aatiyah-Singer%20Index%20Theorem.md)
- Brown Representability
- [Kervaire Invariant 1](Kervaire%20Invariant%201.md) 
- [cobordism hypothesis](cobordism%20hypothesis.md)
- [Milnor's conjecture](Milnor's%20conjecture)
- [Vandiver's conjecture](Vandiver's%20conjecture.md)
- [Hodge Conjecture](Hodge%20Conjecture)