How many holes does a shirt have topologically?
In mathematics, the number of holes in an object is called its genus. A sphere has genus 0, because it has no holes. A torus (donut) has genus 1, because it has one hole.
So how many holes does a shirt have?
To answer this question, we need to consider the topology of a shirt. A shirt is a closed surface, meaning that it has no boundaries. It has two sleeves, which are also closed surfaces. So we can think of a shirt as a sphere with two handles.
The genus of a sphere with n handles is n + 1. So the genus of a shirt is 2 + 1 = 3.
Therefore, a shirt has three holes topologically.
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