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Topology |
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Authors: Arturo Tozzi
Take a balloon, that is a genus-one manifold. If you break the jointness by piercing its surface, the hole gest lost and the punctured balloon becomes a genus-0 manifold. Starting from this trivial claim, we prove a topological theorem which plainly states that “the ends of a donut can meet, whilst the ends of a kidney pie cannot”. In this succinct note, we discuss the theorem and its implications in disparate topics such as topological connectedness, gauge theories and the physics of the black holes.
Comments: 4 Pages.
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[v1] 2021-01-01 12:21:36
Unique-IP document downloads: 317 times
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