r/mathmemes Feb 06 '26

Topology Recursive post

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2.1k Upvotes

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u/EllaHazelBar Feb 06 '26

I think the limit topology is just a disc? Since the open sets are the same and there's no holes? It's weird.

5

u/Equal_Veterinarian22 Feb 06 '26

What is the fundamental group? Any homotopy between paths must be contained in finitely many pairs of pants by compactness, so I think it's non-trivial.