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Applied topology 3: A punctured torus is homotopy equivalent to a figure eight
The Overload
Solid torus without k points homotopy equivalence
Deformation Retract of Punctured Torus
Torus eversion: turning the torus inside out
The punctured torus
Turning a Torus Inside-Out (Punctured Torus Eversion)
Two-dimensional objects--the torus and genus | Algebraic Topology 5 | NJ Wildberger
The torus
Embedding a Torus (John Nash) - Numberphile
Gluing a Torus
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Last Updated: August 16, 2026
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