Topology is very interesting to study. And it's challenging to classify different topological spaces. Studying homology is a method to classify some of them. Here's an article on Quanta Magazine explaining what homology is and how it helps classify topological spaces.
https://www.quantamagazine.org/how-mathematicians-use-homology-to-make-sense-of-topology-20210511/
Enjoy reading it!
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