De Rham's Theorem

December 2023

De Rham's theorem provides an important connection between topology and smooth manifolds---that for manifolds, the de Rham cohomology is exactly the (real) singular cohomology, and the isomorphism is given by integration. Read more

Covering Spaces

August 2022

Covering spaces are a cool thing in topology. Finding covering spaces is like unwrapping a topological space. There are intimate connections between the fundamental group and covering spaces. Read more