Question #6941
Dear Expert how will we show that a coffee cup is homeomorphic to doughnut .f any approach please explain.
Expert's answer
A continuous deformation between a coffee mug and a donut illustrating that they are homeomorphic.
Continuous deformation is shown here
The surfaces of a donut and a coffee cup (with one handle) are considered equivalent because both have a single hole.
Continuous deformation is shown here
The surfaces of a donut and a coffee cup (with one handle) are considered equivalent because both have a single hole.
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