Hi all! It’s been a while since I’ve written. Truthfully, I’ve been wanting to introduce some “advanced” concepts while keeping the material readable. Today we’re going to talk about homology! Homology is a tool we use to count holes in a space. It’s a very smart way to count holes, because as we’ll see, defining a hole is kind of hard. Unfortunately, the “output” of homology are groups or vector spaces. But we’ll deal with this by only looking at the “rank” of the group or vector space, which is a number. …

Osama Ghani

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