Sock Classification

A series of socks and their topological equivalence to standard objects. A new sock has no holes and so has genus zero, like a sphere. A used sock has one hole, so it has the same genus as a torus (genus one). The final sock is my sock, and it's what happens when you take the limit of the genus going to infinity.

In surprising news, my socks provided a new avenue into the classification of topological spaces.

Published on December 21st , 2022 by Jeremy

Sock Classification

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